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Finding the Third Proportional to 71,442 and 106,812

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Solution

The third proportional to 71,442 and 106,812 is: 159,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442 : 106,812 = 106,812 : x
  2. Step 2: Convert to fraction form
    71,442/106,812 = 106,812/x
  3. Step 3: Cross multiply
    71,442x = 106,812 × 106,812
  4. Step 4: Simplify right side
    71,442x = 11,408,803,344
  5. Step 5: Solve for x
    x = 11,408,803,344/71,442
  6. Step 6: Final answer
    x = 159,693.22

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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.