A question about a fielder taking a throw at a base for an out.

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Say at third base, the throw from right field pulls the third baseman several feet from the bag. A runner is coming in from second trying to beat the throw. Can the third baseman catch the ball and dive back to the bag and just touch the base with the ball in his glove, or does he have to tag the runner?

I'm wondering about this since second baseman/shortstop doesn't have to tag the runner when turning a double play, he/she just has to touch the bag when making the pivot and throw to first.

And what about a first baseman fielding a grounder who dives back to first and touches the bag with his glove?