Jay Cutler threw three touchdown passes, Matt Forte ran for 113 yards, and the Chicago Bears beat New York, 38-34, yesterday, sending the Jets to their third loss in four games. Chris Harris intercepted Mark Sanchez on a pass intended for Santonio Holmes with about a minute left to end New York’s comeback bid, but the Jets’ season won’t be ending next week.

The Jets (10-5) clinched their second straight postseason trip under Ryan when Jacksonville lost, 20-17, to Washington. There was a loud roar from the coaches’ locker room when the Jaguars lost, and Ryan stopped himself as he addressed the media.

“By the way, I think we’re in the playoffs,’’ he said. “Not the way I wanted it, but I’ll take it.’’

The Jets will have an extra night in Chicago to savor the accomplishment after a snowstorm delayed their return to New York, and the Bears (11-4) might let this one soak in a bit, too.

They won for the seventh time in eight games after blowing an early 10-point lead and are in good position to lock up a bye. The Bears needed a win, coupled with a loss by Philadelphia and a loss or tie by the Giants. The Giants lost to the Packers but the Eagles won’t play until tomorrow after their game against Minnesota got pushed back by snow.

Cutler completed 13 of 25 passes for 215 yards, with Johnny Knox catching four for 92 with two touchdowns, the second coming when he beat Antonio Cromartie on a 26-yarder that broke a 31-31 tie in the third quarter.

“We came into it knowing we were going to have to take a few shots, go vertical on them,’’ Cutler said. “We knew with our speed it would be hard for them to keep up.’’

Forte had a big game and, assuming those numbers stand, is the first opponent to run for 100 or more yards against the Jets this season. Pittsburgh’s Rashard Mendenhall had a yard deducted after initially being credited with 100 last week.

Sanchez seemed to be just fine after playing most of last week’s win over Pittsburgh with a shoulder injury. He threw for 269 yards and a touchdown, completing 24 of 37 passes after a sizzling start, but his interception sealed the win for Chicago.

“To lose the game and I still make the playoffs, that’s the best news you can ever have after a loss,’’ said Sanchez, who will likely sit out next week’s game against Buffalo.

Sanchez completed 13 of 15 passes for 156 yards in the first half, and the Jets led, 24-17, but the momentum turned in a big way after halftime. A fake punt by New York on the opening drive of the third quarter failed as Sanchez’s pass to Brad Smith fell incomplete and things only got worse from there.

Cutler tied it on the next play when he hit Knox in the end zone with a 40-yard touchdown, and in a flash, the Bears were leading thanks to two big plays by Devin Hester.

He returned a punt 38 yards to the New York 32, putting a neat juke on James Ihedigbo that caused his leg to give way and left him with a knee injury.

Then, Hester beat Drew Coleman and caught a 25-yard TD pass from Cutler along the left side that gave the Bears a 31-24 lead.

New York immediately tied it on a 23-yard pass from Sanchez to Holmes, but Knox put Chicago ahead for good when he beat Cromartie for that 26-yarder with about six minutes left in the quarter.

“We talk a lot about finishing. That’s definitely what we did,’’ coach Lovie Smith said.