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Finding the Third Proportional to 41,117 and 96,132

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Solution

The third proportional to 41,117 and 96,132 is: 224,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,117 : 96,132 = 96,132 : x
  2. Step 2: Convert to fraction form
    41,117/96,132 = 96,132/x
  3. Step 3: Cross multiply
    41,117x = 96,132 × 96,132
  4. Step 4: Simplify right side
    41,117x = 9,241,361,424
  5. Step 5: Solve for x
    x = 9,241,361,424/41,117
  6. Step 6: Final answer
    x = 224,757.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.