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Finding the Third Proportional to 125,888 and 255,424

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Solution

The third proportional to 125,888 and 255,424 is: 518,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,888 : 255,424 = 255,424 : x
  2. Step 2: Convert to fraction form
    125,888/255,424 = 255,424/x
  3. Step 3: Cross multiply
    125,888x = 255,424 × 255,424
  4. Step 4: Simplify right side
    125,888x = 65,241,419,776
  5. Step 5: Solve for x
    x = 65,241,419,776/125,888
  6. Step 6: Final answer
    x = 518,249.71

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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.