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Finding the Third Proportional to 126,117 and 271,368

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Solution

The third proportional to 126,117 and 271,368 is: 583,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,117 : 271,368 = 271,368 : x
  2. Step 2: Convert to fraction form
    126,117/271,368 = 271,368/x
  3. Step 3: Cross multiply
    126,117x = 271,368 × 271,368
  4. Step 4: Simplify right side
    126,117x = 73,640,591,424
  5. Step 5: Solve for x
    x = 73,640,591,424/126,117
  6. Step 6: Final answer
    x = 583,906.94

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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.