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Finding the Third Proportional to 126,872 and 273,232

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Solution

The third proportional to 126,872 and 273,232 is: 588,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,872 : 273,232 = 273,232 : x
  2. Step 2: Convert to fraction form
    126,872/273,232 = 273,232/x
  3. Step 3: Cross multiply
    126,872x = 273,232 × 273,232
  4. Step 4: Simplify right side
    126,872x = 74,655,725,824
  5. Step 5: Solve for x
    x = 74,655,725,824/126,872
  6. Step 6: Final answer
    x = 588,433.43

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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.