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Finding the Third Proportional to 41,327 and 89,521

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Solution

The third proportional to 41,327 and 89,521 is: 193,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,327 : 89,521 = 89,521 : x
  2. Step 2: Convert to fraction form
    41,327/89,521 = 89,521/x
  3. Step 3: Cross multiply
    41,327x = 89,521 × 89,521
  4. Step 4: Simplify right side
    41,327x = 8,014,009,441
  5. Step 5: Solve for x
    x = 8,014,009,441/41,327
  6. Step 6: Final answer
    x = 193,917.04

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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.