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Finding the Third Proportional to 126,242 and 271,558

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Solution

The third proportional to 126,242 and 271,558 is: 584,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,242 : 271,558 = 271,558 : x
  2. Step 2: Convert to fraction form
    126,242/271,558 = 271,558/x
  3. Step 3: Cross multiply
    126,242x = 271,558 × 271,558
  4. Step 4: Simplify right side
    126,242x = 73,743,747,364
  5. Step 5: Solve for x
    x = 73,743,747,364/126,242
  6. Step 6: Final answer
    x = 584,145.91

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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.