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Finding the Third Proportional to 42,682 and 67,866

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Solution

The third proportional to 42,682 and 67,866 is: 107,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,682 : 67,866 = 67,866 : x
  2. Step 2: Convert to fraction form
    42,682/67,866 = 67,866/x
  3. Step 3: Cross multiply
    42,682x = 67,866 × 67,866
  4. Step 4: Simplify right side
    42,682x = 4,605,793,956
  5. Step 5: Solve for x
    x = 4,605,793,956/42,682
  6. Step 6: Final answer
    x = 107,909.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.