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Finding the Third Proportional to 67,984 and 95,566

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Solution

The third proportional to 67,984 and 95,566 is: 134,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,984 : 95,566 = 95,566 : x
  2. Step 2: Convert to fraction form
    67,984/95,566 = 95,566/x
  3. Step 3: Cross multiply
    67,984x = 95,566 × 95,566
  4. Step 4: Simplify right side
    67,984x = 9,132,860,356
  5. Step 5: Solve for x
    x = 9,132,860,356/67,984
  6. Step 6: Final answer
    x = 134,338.38

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Why These Related Problems?

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