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Finding the Third Proportional to 126,942 and 271,383

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Solution

The third proportional to 126,942 and 271,383 is: 580,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,942 : 271,383 = 271,383 : x
  2. Step 2: Convert to fraction form
    126,942/271,383 = 271,383/x
  3. Step 3: Cross multiply
    126,942x = 271,383 × 271,383
  4. Step 4: Simplify right side
    126,942x = 73,648,732,689
  5. Step 5: Solve for x
    x = 73,648,732,689/126,942
  6. Step 6: Final answer
    x = 580,176.24

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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.