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Finding the Third Proportional to 67,982 and 95,563

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Solution

The third proportional to 67,982 and 95,563 is: 134,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,982 : 95,563 = 95,563 : x
  2. Step 2: Convert to fraction form
    67,982/95,563 = 95,563/x
  3. Step 3: Cross multiply
    67,982x = 95,563 × 95,563
  4. Step 4: Simplify right side
    67,982x = 9,132,286,969
  5. Step 5: Solve for x
    x = 9,132,286,969/67,982
  6. Step 6: Final answer
    x = 134,333.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.