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Finding the Third Proportional to 41,447 and 89,374

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Solution

The third proportional to 41,447 and 89,374 is: 192,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,447 : 89,374 = 89,374 : x
  2. Step 2: Convert to fraction form
    41,447/89,374 = 89,374/x
  3. Step 3: Cross multiply
    41,447x = 89,374 × 89,374
  4. Step 4: Simplify right side
    41,447x = 7,987,711,876
  5. Step 5: Solve for x
    x = 7,987,711,876/41,447
  6. Step 6: Final answer
    x = 192,721.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.