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Finding the Third Proportional to 41,132 and 90,121

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Solution

The third proportional to 41,132 and 90,121 is: 197,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132 : 90,121 = 90,121 : x
  2. Step 2: Convert to fraction form
    41,132/90,121 = 90,121/x
  3. Step 3: Cross multiply
    41,132x = 90,121 × 90,121
  4. Step 4: Simplify right side
    41,132x = 8,121,794,641
  5. Step 5: Solve for x
    x = 8,121,794,641/41,132
  6. Step 6: Final answer
    x = 197,456.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.