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Finding the Third Proportional to 71,601.47 and 156,974.20

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Solution

The third proportional to 71,601.47 and 156,974.20 is: 344,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,601.47 : 156,974.20 = 156,974.20 : x
  2. Step 2: Convert to fraction form
    71,601.47/156,974.20 = 156,974.20/x
  3. Step 3: Cross multiply
    71,601.47x = 156,974.20 × 156,974.20
  4. Step 4: Simplify right side
    71,601.47x = 24,640,900,446.73
  5. Step 5: Solve for x
    x = 24,640,900,446.73/71,601.47
  6. Step 6: Final answer
    x = 344,139.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.