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Finding the Third Proportional to 126,108.75 and 263,901

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Solution

The third proportional to 126,108.75 and 263,901 is: 552,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,108.75 : 263,901 = 263,901 : x
  2. Step 2: Convert to fraction form
    126,108.75/263,901 = 263,901/x
  3. Step 3: Cross multiply
    126,108.75x = 263,901 × 263,901
  4. Step 4: Simplify right side
    126,108.75x = 69,643,737,801
  5. Step 5: Solve for x
    x = 69,643,737,801/126,108.75
  6. Step 6: Final answer
    x = 552,251.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.