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Finding the Third Proportional to 126,927 and 271,350

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Solution

The third proportional to 126,927 and 271,350 is: 580,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,927 : 271,350 = 271,350 : x
  2. Step 2: Convert to fraction form
    126,927/271,350 = 271,350/x
  3. Step 3: Cross multiply
    126,927x = 271,350 × 271,350
  4. Step 4: Simplify right side
    126,927x = 73,630,822,500
  5. Step 5: Solve for x
    x = 73,630,822,500/126,927
  6. Step 6: Final answer
    x = 580,103.70

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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.