Finding the Third Proportional to 82,705.50 and 123,732
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Solution
The third proportional to 82,705.50 and 123,732 is: 185,109.91
Step by Step Solution
- Step 1: Write the proportion equation
82,705.50 : 123,732 = 123,732 : x - Step 2: Convert to fraction form
82,705.50/123,732 = 123,732/x - Step 3: Cross multiply
82,705.50x = 123,732 × 123,732 - Step 4: Simplify right side
82,705.50x = 15,309,607,824 - Step 5: Solve for x
x = 15,309,607,824/82,705.50 - Step 6: Final answer
x = 185,109.91
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.