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Finding the Third Proportional to 126,924.75 and 189,001.13

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Solution

The third proportional to 126,924.75 and 189,001.13 is: 281,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,924.75 : 189,001.13 = 189,001.13 : x
  2. Step 2: Convert to fraction form
    126,924.75/189,001.13 = 189,001.13/x
  3. Step 3: Cross multiply
    126,924.75x = 189,001.13 × 189,001.13
  4. Step 4: Simplify right side
    126,924.75x = 35,721,425,251.27
  5. Step 5: Solve for x
    x = 35,721,425,251.27/126,924.75
  6. Step 6: Final answer
    x = 281,437.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.