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Finding the Third Proportional to 42,241 and 89,860

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Solution

The third proportional to 42,241 and 89,860 is: 191,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241 : 89,860 = 89,860 : x
  2. Step 2: Convert to fraction form
    42,241/89,860 = 89,860/x
  3. Step 3: Cross multiply
    42,241x = 89,860 × 89,860
  4. Step 4: Simplify right side
    42,241x = 8,074,819,600
  5. Step 5: Solve for x
    x = 8,074,819,600/42,241
  6. Step 6: Final answer
    x = 191,160.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.