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Finding the Third Proportional to 36,241 and 77,839

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Solution

The third proportional to 36,241 and 77,839 is: 167,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,241 : 77,839 = 77,839 : x
  2. Step 2: Convert to fraction form
    36,241/77,839 = 77,839/x
  3. Step 3: Cross multiply
    36,241x = 77,839 × 77,839
  4. Step 4: Simplify right side
    36,241x = 6,058,909,921
  5. Step 5: Solve for x
    x = 6,058,909,921/36,241
  6. Step 6: Final answer
    x = 167,183.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.