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Finding the Third Proportional to 41,961 and 91,227

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Solution

The third proportional to 41,961 and 91,227 is: 198,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,961 : 91,227 = 91,227 : x
  2. Step 2: Convert to fraction form
    41,961/91,227 = 91,227/x
  3. Step 3: Cross multiply
    41,961x = 91,227 × 91,227
  4. Step 4: Simplify right side
    41,961x = 8,322,365,529
  5. Step 5: Solve for x
    x = 8,322,365,529/41,961
  6. Step 6: Final answer
    x = 198,335.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.