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Finding the Third Proportional to 126,192 and 276,048

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Solution

The third proportional to 126,192 and 276,048 is: 603,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,192 : 276,048 = 276,048 : x
  2. Step 2: Convert to fraction form
    126,192/276,048 = 276,048/x
  3. Step 3: Cross multiply
    126,192x = 276,048 × 276,048
  4. Step 4: Simplify right side
    126,192x = 76,202,498,304
  5. Step 5: Solve for x
    x = 76,202,498,304/126,192
  6. Step 6: Final answer
    x = 603,861.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.