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Finding the Third Proportional to 125,424 and 268,110

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Solution

The third proportional to 125,424 and 268,110 is: 573,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,424 : 268,110 = 268,110 : x
  2. Step 2: Convert to fraction form
    125,424/268,110 = 268,110/x
  3. Step 3: Cross multiply
    125,424x = 268,110 × 268,110
  4. Step 4: Simplify right side
    125,424x = 71,882,972,100
  5. Step 5: Solve for x
    x = 71,882,972,100/125,424
  6. Step 6: Final answer
    x = 573,119.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.