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Finding the Third Proportional to 62,724.38 and 129,792.38

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Solution

The third proportional to 62,724.38 and 129,792.38 is: 268,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,724.38 : 129,792.38 = 129,792.38 : x
  2. Step 2: Convert to fraction form
    62,724.38/129,792.38 = 129,792.38/x
  3. Step 3: Cross multiply
    62,724.38x = 129,792.38 × 129,792.38
  4. Step 4: Simplify right side
    62,724.38x = 16,846,060,608.14
  5. Step 5: Solve for x
    x = 16,846,060,608.14/62,724.38
  6. Step 6: Final answer
    x = 268,572.79

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