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Finding the Third Proportional to 57,698 and 87,630

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Solution

The third proportional to 57,698 and 87,630 is: 133,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,698 : 87,630 = 87,630 : x
  2. Step 2: Convert to fraction form
    57,698/87,630 = 87,630/x
  3. Step 3: Cross multiply
    57,698x = 87,630 × 87,630
  4. Step 4: Simplify right side
    57,698x = 7,679,016,900
  5. Step 5: Solve for x
    x = 7,679,016,900/57,698
  6. Step 6: Final answer
    x = 133,089.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.