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Finding the Third Proportional to 41,327 and 90,295

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Solution

The third proportional to 41,327 and 90,295 is: 197,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,327 : 90,295 = 90,295 : x
  2. Step 2: Convert to fraction form
    41,327/90,295 = 90,295/x
  3. Step 3: Cross multiply
    41,327x = 90,295 × 90,295
  4. Step 4: Simplify right side
    41,327x = 8,153,187,025
  5. Step 5: Solve for x
    x = 8,153,187,025/41,327
  6. Step 6: Final answer
    x = 197,284.75

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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.