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Finding the Third Proportional to 134,227.13 and 188,142.75

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Solution

The third proportional to 134,227.13 and 188,142.75 is: 263,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,227.13 : 188,142.75 = 188,142.75 : x
  2. Step 2: Convert to fraction form
    134,227.13/188,142.75 = 188,142.75/x
  3. Step 3: Cross multiply
    134,227.13x = 188,142.75 × 188,142.75
  4. Step 4: Simplify right side
    134,227.13x = 35,397,694,377.56
  5. Step 5: Solve for x
    x = 35,397,694,377.56/134,227.13
  6. Step 6: Final answer
    x = 263,714.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.