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Finding the Third Proportional to 41,982 and 88,703

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Solution

The third proportional to 41,982 and 88,703 is: 187,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,982 : 88,703 = 88,703 : x
  2. Step 2: Convert to fraction form
    41,982/88,703 = 88,703/x
  3. Step 3: Cross multiply
    41,982x = 88,703 × 88,703
  4. Step 4: Simplify right side
    41,982x = 7,868,222,209
  5. Step 5: Solve for x
    x = 7,868,222,209/41,982
  6. Step 6: Final answer
    x = 187,418.95

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.