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Finding the Third Proportional to 41,171 and 85,249

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Solution

The third proportional to 41,171 and 85,249 is: 176,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,171 : 85,249 = 85,249 : x
  2. Step 2: Convert to fraction form
    41,171/85,249 = 85,249/x
  3. Step 3: Cross multiply
    41,171x = 85,249 × 85,249
  4. Step 4: Simplify right side
    41,171x = 7,267,392,001
  5. Step 5: Solve for x
    x = 7,267,392,001/41,171
  6. Step 6: Final answer
    x = 176,517.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.