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Finding the Third Proportional to 41,992 and 90,749

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Solution

The third proportional to 41,992 and 90,749 is: 196,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,992 : 90,749 = 90,749 : x
  2. Step 2: Convert to fraction form
    41,992/90,749 = 90,749/x
  3. Step 3: Cross multiply
    41,992x = 90,749 × 90,749
  4. Step 4: Simplify right side
    41,992x = 8,235,381,001
  5. Step 5: Solve for x
    x = 8,235,381,001/41,992
  6. Step 6: Final answer
    x = 196,117.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.