Finding the Third Proportional to 76,732 and 116,701
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Solution
The third proportional to 76,732 and 116,701 is: 177,489.49
Step by Step Solution
- Step 1: Write the proportion equation
76,732 : 116,701 = 116,701 : x - Step 2: Convert to fraction form
76,732/116,701 = 116,701/x - Step 3: Cross multiply
76,732x = 116,701 × 116,701 - Step 4: Simplify right side
76,732x = 13,619,123,401 - Step 5: Solve for x
x = 13,619,123,401/76,732 - Step 6: Final answer
x = 177,489.49
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.