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Finding the Third Proportional to 100,023.75 and 140,680.13

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Solution

The third proportional to 100,023.75 and 140,680.13 is: 197,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023.75 : 140,680.13 = 140,680.13 : x
  2. Step 2: Convert to fraction form
    100,023.75/140,680.13 = 140,680.13/x
  3. Step 3: Cross multiply
    100,023.75x = 140,680.13 × 140,680.13
  4. Step 4: Simplify right side
    100,023.75x = 19,790,897,570.02
  5. Step 5: Solve for x
    x = 19,790,897,570.02/100,023.75
  6. Step 6: Final answer
    x = 197,861.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.