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Finding the Third Proportional to 70,676 and 99,062

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Solution

The third proportional to 70,676 and 99,062 is: 138,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676 : 99,062 = 99,062 : x
  2. Step 2: Convert to fraction form
    70,676/99,062 = 99,062/x
  3. Step 3: Cross multiply
    70,676x = 99,062 × 99,062
  4. Step 4: Simplify right side
    70,676x = 9,813,279,844
  5. Step 5: Solve for x
    x = 9,813,279,844/70,676
  6. Step 6: Final answer
    x = 138,848.83

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.