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Finding the Third Proportional to 71,702 and 107,427

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Solution

The third proportional to 71,702 and 107,427 is: 160,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,702 : 107,427 = 107,427 : x
  2. Step 2: Convert to fraction form
    71,702/107,427 = 107,427/x
  3. Step 3: Cross multiply
    71,702x = 107,427 × 107,427
  4. Step 4: Simplify right side
    71,702x = 11,540,560,329
  5. Step 5: Solve for x
    x = 11,540,560,329/71,702
  6. Step 6: Final answer
    x = 160,951.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.