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Finding the Third Proportional to 40,940 and 90,127

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Solution

The third proportional to 40,940 and 90,127 is: 198,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,940 : 90,127 = 90,127 : x
  2. Step 2: Convert to fraction form
    40,940/90,127 = 90,127/x
  3. Step 3: Cross multiply
    40,940x = 90,127 × 90,127
  4. Step 4: Simplify right side
    40,940x = 8,122,876,129
  5. Step 5: Solve for x
    x = 8,122,876,129/40,940
  6. Step 6: Final answer
    x = 198,409.29

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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.