Help with analyzing a Wheatstone Circuit using Node-Voltage Analysis

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Homework Statement


Calculate the resistance of R3 so that Vab = Va - Vb = 0, assume Rth is 75Ω.

Here is a picture of the circuit: http://i.imgur.com/zsQBYJx.jpg

Homework Equations





The Attempt at a Solution


Never seen this circuit before, don't know where to begin. I assume I have to analyze the voltage at each node and set up a system of equations which can allow me to calculate R3 based off of the values that I already know, but I'm not sure how to begin. Thanks in advance for any hints.
 
on Phys.org
You need to show some attempt. Why not start by writing the node equations for Va and Vb?
 

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