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Finding the Third Proportional to 41,517 and 91,757

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Solution

The third proportional to 41,517 and 91,757 is: 202,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,517 : 91,757 = 91,757 : x
  2. Step 2: Convert to fraction form
    41,517/91,757 = 91,757/x
  3. Step 3: Cross multiply
    41,517x = 91,757 × 91,757
  4. Step 4: Simplify right side
    41,517x = 8,419,347,049
  5. Step 5: Solve for x
    x = 8,419,347,049/41,517
  6. Step 6: Final answer
    x = 202,792.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.