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Finding the Third Proportional to 130,819.13 and 177,540.38

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Solution

The third proportional to 130,819.13 and 177,540.38 is: 240,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,819.13 : 177,540.38 = 177,540.38 : x
  2. Step 2: Convert to fraction form
    130,819.13/177,540.38 = 177,540.38/x
  3. Step 3: Cross multiply
    130,819.13x = 177,540.38 × 177,540.38
  4. Step 4: Simplify right side
    130,819.13x = 31,520,584,755.14
  5. Step 5: Solve for x
    x = 31,520,584,755.14/130,819.13
  6. Step 6: Final answer
    x = 240,947.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.