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Finding the Third Proportional to 71,233.31 and 152,001.56

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Solution

The third proportional to 71,233.31 and 152,001.56 is: 324,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,233.31 : 152,001.56 = 152,001.56 : x
  2. Step 2: Convert to fraction form
    71,233.31/152,001.56 = 152,001.56/x
  3. Step 3: Cross multiply
    71,233.31x = 152,001.56 × 152,001.56
  4. Step 4: Simplify right side
    71,233.31x = 23,104,475,002.44
  5. Step 5: Solve for x
    x = 23,104,475,002.44/71,233.31
  6. Step 6: Final answer
    x = 324,349.30

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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.