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Finding the Third Proportional to 41,882 and 91,293

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Solution

The third proportional to 41,882 and 91,293 is: 198,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882 : 91,293 = 91,293 : x
  2. Step 2: Convert to fraction form
    41,882/91,293 = 91,293/x
  3. Step 3: Cross multiply
    41,882x = 91,293 × 91,293
  4. Step 4: Simplify right side
    41,882x = 8,334,411,849
  5. Step 5: Solve for x
    x = 8,334,411,849/41,882
  6. Step 6: Final answer
    x = 198,997.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.