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Finding the Third Proportional to 71,472.38 and 152,188.88

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Solution

The third proportional to 71,472.38 and 152,188.88 is: 324,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,472.38 : 152,188.88 = 152,188.88 : x
  2. Step 2: Convert to fraction form
    71,472.38/152,188.88 = 152,188.88/x
  3. Step 3: Cross multiply
    71,472.38x = 152,188.88 × 152,188.88
  4. Step 4: Simplify right side
    71,472.38x = 23,161,453,673.77
  5. Step 5: Solve for x
    x = 23,161,453,673.77/71,472.38
  6. Step 6: Final answer
    x = 324,061.62

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.