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Finding the Third Proportional to 55,614.19 and 131,227.31

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Solution

The third proportional to 55,614.19 and 131,227.31 is: 309,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,614.19 : 131,227.31 = 131,227.31 : x
  2. Step 2: Convert to fraction form
    55,614.19/131,227.31 = 131,227.31/x
  3. Step 3: Cross multiply
    55,614.19x = 131,227.31 × 131,227.31
  4. Step 4: Simplify right side
    55,614.19x = 17,220,607,545.97
  5. Step 5: Solve for x
    x = 17,220,607,545.97/55,614.19
  6. Step 6: Final answer
    x = 309,644.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.