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Finding the Third Proportional to 41,884 and 91,166

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Solution

The third proportional to 41,884 and 91,166 is: 198,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884 : 91,166 = 91,166 : x
  2. Step 2: Convert to fraction form
    41,884/91,166 = 91,166/x
  3. Step 3: Cross multiply
    41,884x = 91,166 × 91,166
  4. Step 4: Simplify right side
    41,884x = 8,311,239,556
  5. Step 5: Solve for x
    x = 8,311,239,556/41,884
  6. Step 6: Final answer
    x = 198,434.71

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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.