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Finding the Third Proportional to 71,408 and 106,330

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Solution

The third proportional to 71,408 and 106,330 is: 158,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408 : 106,330 = 106,330 : x
  2. Step 2: Convert to fraction form
    71,408/106,330 = 106,330/x
  3. Step 3: Cross multiply
    71,408x = 106,330 × 106,330
  4. Step 4: Simplify right side
    71,408x = 11,306,068,900
  5. Step 5: Solve for x
    x = 11,306,068,900/71,408
  6. Step 6: Final answer
    x = 158,330.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.