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Finding the Third Proportional to 126,966 and 273,048

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Solution

The third proportional to 126,966 and 273,048 is: 587,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,966 : 273,048 = 273,048 : x
  2. Step 2: Convert to fraction form
    126,966/273,048 = 273,048/x
  3. Step 3: Cross multiply
    126,966x = 273,048 × 273,048
  4. Step 4: Simplify right side
    126,966x = 74,555,210,304
  5. Step 5: Solve for x
    x = 74,555,210,304/126,966
  6. Step 6: Final answer
    x = 587,206.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.