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Finding the Third Proportional to 59,862 and 91,092

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Solution

The third proportional to 59,862 and 91,092 is: 138,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,862 : 91,092 = 91,092 : x
  2. Step 2: Convert to fraction form
    59,862/91,092 = 91,092/x
  3. Step 3: Cross multiply
    59,862x = 91,092 × 91,092
  4. Step 4: Simplify right side
    59,862x = 8,297,752,464
  5. Step 5: Solve for x
    x = 8,297,752,464/59,862
  6. Step 6: Final answer
    x = 138,614.69

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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.