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Finding the Third Proportional to 41,771 and 91,164

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Solution

The third proportional to 41,771 and 91,164 is: 198,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,771 : 91,164 = 91,164 : x
  2. Step 2: Convert to fraction form
    41,771/91,164 = 91,164/x
  3. Step 3: Cross multiply
    41,771x = 91,164 × 91,164
  4. Step 4: Simplify right side
    41,771x = 8,310,874,896
  5. Step 5: Solve for x
    x = 8,310,874,896/41,771
  6. Step 6: Final answer
    x = 198,962.79

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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.