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Finding the Third Proportional to 126,758.25 and 271,512

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Solution

The third proportional to 126,758.25 and 271,512 is: 581,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,758.25 : 271,512 = 271,512 : x
  2. Step 2: Convert to fraction form
    126,758.25/271,512 = 271,512/x
  3. Step 3: Cross multiply
    126,758.25x = 271,512 × 271,512
  4. Step 4: Simplify right side
    126,758.25x = 73,718,766,144
  5. Step 5: Solve for x
    x = 73,718,766,144/126,758.25
  6. Step 6: Final answer
    x = 581,569.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.