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Finding the Third Proportional to 126,112 and 275,904

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Solution

The third proportional to 126,112 and 275,904 is: 603,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,112 : 275,904 = 275,904 : x
  2. Step 2: Convert to fraction form
    126,112/275,904 = 275,904/x
  3. Step 3: Cross multiply
    126,112x = 275,904 × 275,904
  4. Step 4: Simplify right side
    126,112x = 76,123,017,216
  5. Step 5: Solve for x
    x = 76,123,017,216/126,112
  6. Step 6: Final answer
    x = 603,614.38

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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.