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Finding the Third Proportional to 62,593.50 and 129,561

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Solution

The third proportional to 62,593.50 and 129,561 is: 268,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,593.50 : 129,561 = 129,561 : x
  2. Step 2: Convert to fraction form
    62,593.50/129,561 = 129,561/x
  3. Step 3: Cross multiply
    62,593.50x = 129,561 × 129,561
  4. Step 4: Simplify right side
    62,593.50x = 16,786,052,721
  5. Step 5: Solve for x
    x = 16,786,052,721/62,593.50
  6. Step 6: Final answer
    x = 268,175.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.