To calculate this expression, we first need to simplify the terms within the parentheses:

(7/6) - (1/12) + (1/36)

To do this, we first find a common denominator for all the fractions, which is 36.

(7/6) = 42/36
(1/12) = 3/36
(1/36) = 1/36

Now, our expression becomes:

(42/36) - (3/36) + (1/36)

= (42 - 3 + 1)/36
= 40/36
= 10/9

Now we can substitute this value back into the original expression:

(10/9) * (72/34)

To multiply these fractions, we multiply the numerators together and the denominators together:

(10 72) / (9 34)
= 720 / 306
= 120 / 51

So, the final result of the expression (7/6 - 1/12 + 1/36) * (72/34) is 120/51.