How to generate correlated Uniform[0,1] variables

(This question is related to how to generate a dataset of correlated variables with different distributions?)

In Stata, say that I create a random variable following a Uniform[0,1] distribution:

set seed 100
gen random1 = runiform()

I now want to create a second random variable that is correlated with the first (the correlation should be .75, say), but is bounded by 0 and 1. I would like this second variable to also be more-or-less Uniform[0,1]. How can I do this?