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Finding the Third Proportional to 41,327 and 89,522

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Solution

The third proportional to 41,327 and 89,522 is: 193,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,327 : 89,522 = 89,522 : x
  2. Step 2: Convert to fraction form
    41,327/89,522 = 89,522/x
  3. Step 3: Cross multiply
    41,327x = 89,522 × 89,522
  4. Step 4: Simplify right side
    41,327x = 8,014,188,484
  5. Step 5: Solve for x
    x = 8,014,188,484/41,327
  6. Step 6: Final answer
    x = 193,921.37

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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.