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Finding the Third Proportional to 126,243 and 271,560

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Solution

The third proportional to 126,243 and 271,560 is: 584,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,243 : 271,560 = 271,560 : x
  2. Step 2: Convert to fraction form
    126,243/271,560 = 271,560/x
  3. Step 3: Cross multiply
    126,243x = 271,560 × 271,560
  4. Step 4: Simplify right side
    126,243x = 73,744,833,600
  5. Step 5: Solve for x
    x = 73,744,833,600/126,243
  6. Step 6: Final answer
    x = 584,149.88

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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.