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Finding the Third Proportional to 41,950 and 92,189

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Solution

The third proportional to 41,950 and 92,189 is: 202,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,950 : 92,189 = 92,189 : x
  2. Step 2: Convert to fraction form
    41,950/92,189 = 92,189/x
  3. Step 3: Cross multiply
    41,950x = 92,189 × 92,189
  4. Step 4: Simplify right side
    41,950x = 8,498,811,721
  5. Step 5: Solve for x
    x = 8,498,811,721/41,950
  6. Step 6: Final answer
    x = 202,593.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.