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Finding the Third Proportional to 41,566 and 91,882

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Solution

The third proportional to 41,566 and 91,882 is: 203,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,566 : 91,882 = 91,882 : x
  2. Step 2: Convert to fraction form
    41,566/91,882 = 91,882/x
  3. Step 3: Cross multiply
    41,566x = 91,882 × 91,882
  4. Step 4: Simplify right side
    41,566x = 8,442,301,924
  5. Step 5: Solve for x
    x = 8,442,301,924/41,566
  6. Step 6: Final answer
    x = 203,105.95

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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.