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Finding the Third Proportional to 126,767.25 and 189,754.88

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Solution

The third proportional to 126,767.25 and 189,754.88 is: 284,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,767.25 : 189,754.88 = 189,754.88 : x
  2. Step 2: Convert to fraction form
    126,767.25/189,754.88 = 189,754.88/x
  3. Step 3: Cross multiply
    126,767.25x = 189,754.88 × 189,754.88
  4. Step 4: Simplify right side
    126,767.25x = 36,006,912,586.27
  5. Step 5: Solve for x
    x = 36,006,912,586.27/126,767.25
  6. Step 6: Final answer
    x = 284,039.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.