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Finding the Third Proportional to 125,571 and 271,059

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Solution

The third proportional to 125,571 and 271,059 is: 585,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,571 : 271,059 = 271,059 : x
  2. Step 2: Convert to fraction form
    125,571/271,059 = 271,059/x
  3. Step 3: Cross multiply
    125,571x = 271,059 × 271,059
  4. Step 4: Simplify right side
    125,571x = 73,472,981,481
  5. Step 5: Solve for x
    x = 73,472,981,481/125,571
  6. Step 6: Final answer
    x = 585,111.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.