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Finding the Third Proportional to 60,862 and 90,782

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Solution

The third proportional to 60,862 and 90,782 is: 135,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,862 : 90,782 = 90,782 : x
  2. Step 2: Convert to fraction form
    60,862/90,782 = 90,782/x
  3. Step 3: Cross multiply
    60,862x = 90,782 × 90,782
  4. Step 4: Simplify right side
    60,862x = 8,241,371,524
  5. Step 5: Solve for x
    x = 8,241,371,524/60,862
  6. Step 6: Final answer
    x = 135,410.79

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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.