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Finding the Third Proportional to 71,427 and 156,862.50

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Solution

The third proportional to 71,427 and 156,862.50 is: 344,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,427 : 156,862.50 = 156,862.50 : x
  2. Step 2: Convert to fraction form
    71,427/156,862.50 = 156,862.50/x
  3. Step 3: Cross multiply
    71,427x = 156,862.50 × 156,862.50
  4. Step 4: Simplify right side
    71,427x = 24,605,843,906.25
  5. Step 5: Solve for x
    x = 24,605,843,906.25/71,427
  6. Step 6: Final answer
    x = 344,489.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.