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Finding the Third Proportional to 44,721 and 67,081

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Solution

The third proportional to 44,721 and 67,081 is: 100,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,721 : 67,081 = 67,081 : x
  2. Step 2: Convert to fraction form
    44,721/67,081 = 67,081/x
  3. Step 3: Cross multiply
    44,721x = 67,081 × 67,081
  4. Step 4: Simplify right side
    44,721x = 4,499,860,561
  5. Step 5: Solve for x
    x = 4,499,860,561/44,721
  6. Step 6: Final answer
    x = 100,620.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.