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Finding the Third Proportional to 100,176.75 and 141,517.13

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Solution

The third proportional to 100,176.75 and 141,517.13 is: 199,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176.75 : 141,517.13 = 141,517.13 : x
  2. Step 2: Convert to fraction form
    100,176.75/141,517.13 = 141,517.13/x
  3. Step 3: Cross multiply
    100,176.75x = 141,517.13 × 141,517.13
  4. Step 4: Simplify right side
    100,176.75x = 20,027,096,668.27
  5. Step 5: Solve for x
    x = 20,027,096,668.27/100,176.75
  6. Step 6: Final answer
    x = 199,917.61

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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.