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Finding the Third Proportional to 126,576 and 275,832

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Solution

The third proportional to 126,576 and 275,832 is: 601,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,576 : 275,832 = 275,832 : x
  2. Step 2: Convert to fraction form
    126,576/275,832 = 275,832/x
  3. Step 3: Cross multiply
    126,576x = 275,832 × 275,832
  4. Step 4: Simplify right side
    126,576x = 76,083,292,224
  5. Step 5: Solve for x
    x = 76,083,292,224/126,576
  6. Step 6: Final answer
    x = 601,087.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.