Pistols are NOT rifles. They're really intended for "closer" rather than "more distant" shooting.
I'd argue that shooting a pistol beyond 50 yards is pushing the envelope, as the ballistics of most handguns loads (especially those used in target shooting) simply aren't up to the task. In a life-or-death situation, if you've got to shoot at someone at that distance, you should be running for a long gun or the next county.
A gun that is very accurate at 50 yards is much sought after, but few shooters can take advantage of that sort of accuracy.
A lot of competition is done at 25 yards or less. And for combat shooting, much is done at 20 yards; most is done much closer. If you can hit things well and consistently at 15-20 yards, you're doing alright.
(There is and has always been a group who enjoy shooting at greater distances -- its a sport in and of itself -- 100 yrds, 200 yds., etc. Some hunters go beyond 50 yards with handguns, too.)
You might check to see if there is a BULLSEYE club in your area. But be prepared to spend money on guns and ammo.
Try this for starters:
www.bullseyepistol.com/