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Finding the Third Proportional to 125,400.66 and 255,163.78

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Solution

The third proportional to 125,400.66 and 255,163.78 is: 519,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,400.66 : 255,163.78 = 255,163.78 : x
  2. Step 2: Convert to fraction form
    125,400.66/255,163.78 = 255,163.78/x
  3. Step 3: Cross multiply
    125,400.66x = 255,163.78 × 255,163.78
  4. Step 4: Simplify right side
    125,400.66x = 65,108,555,261.80
  5. Step 5: Solve for x
    x = 65,108,555,261.80/125,400.66
  6. Step 6: Final answer
    x = 519,204.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.