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Finding the Third Proportional to 71,902.75 and 156,229.75

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Solution

The third proportional to 71,902.75 and 156,229.75 is: 339,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.75 : 156,229.75 = 156,229.75 : x
  2. Step 2: Convert to fraction form
    71,902.75/156,229.75 = 156,229.75/x
  3. Step 3: Cross multiply
    71,902.75x = 156,229.75 × 156,229.75
  4. Step 4: Simplify right side
    71,902.75x = 24,407,734,785.06
  5. Step 5: Solve for x
    x = 24,407,734,785.06/71,902.75
  6. Step 6: Final answer
    x = 339,454.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.