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Finding the Third Proportional to 126,512 and 268,600

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Solution

The third proportional to 126,512 and 268,600 is: 570,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,512 : 268,600 = 268,600 : x
  2. Step 2: Convert to fraction form
    126,512/268,600 = 268,600/x
  3. Step 3: Cross multiply
    126,512x = 268,600 × 268,600
  4. Step 4: Simplify right side
    126,512x = 72,145,960,000
  5. Step 5: Solve for x
    x = 72,145,960,000/126,512
  6. Step 6: Final answer
    x = 570,269.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.