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Finding the Third Proportional to 126,758 and 273,612

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Solution

The third proportional to 126,758 and 273,612 is: 590,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,758 : 273,612 = 273,612 : x
  2. Step 2: Convert to fraction form
    126,758/273,612 = 273,612/x
  3. Step 3: Cross multiply
    126,758x = 273,612 × 273,612
  4. Step 4: Simplify right side
    126,758x = 74,863,526,544
  5. Step 5: Solve for x
    x = 74,863,526,544/126,758
  6. Step 6: Final answer
    x = 590,601.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.