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Finding the Third Proportional to 71,863.59 and 151,174.97

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Solution

The third proportional to 71,863.59 and 151,174.97 is: 318,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,863.59 : 151,174.97 = 151,174.97 : x
  2. Step 2: Convert to fraction form
    71,863.59/151,174.97 = 151,174.97/x
  3. Step 3: Cross multiply
    71,863.59x = 151,174.97 × 151,174.97
  4. Step 4: Simplify right side
    71,863.59x = 22,853,871,176.56
  5. Step 5: Solve for x
    x = 22,853,871,176.56/71,863.59
  6. Step 6: Final answer
    x = 318,017.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.