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Finding the Third Proportional to 126,084 and 268,856

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Solution

The third proportional to 126,084 and 268,856 is: 573,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,084 : 268,856 = 268,856 : x
  2. Step 2: Convert to fraction form
    126,084/268,856 = 268,856/x
  3. Step 3: Cross multiply
    126,084x = 268,856 × 268,856
  4. Step 4: Simplify right side
    126,084x = 72,283,548,736
  5. Step 5: Solve for x
    x = 72,283,548,736/126,084
  6. Step 6: Final answer
    x = 573,296.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.