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Finding the Third Proportional to 126,096 and 268,884

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Solution

The third proportional to 126,096 and 268,884 is: 573,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,096 : 268,884 = 268,884 : x
  2. Step 2: Convert to fraction form
    126,096/268,884 = 268,884/x
  3. Step 3: Cross multiply
    126,096x = 268,884 × 268,884
  4. Step 4: Simplify right side
    126,096x = 72,298,605,456
  5. Step 5: Solve for x
    x = 72,298,605,456/126,096
  6. Step 6: Final answer
    x = 573,361.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.