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Finding the Third Proportional to 126,726 and 268,932

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Solution

The third proportional to 126,726 and 268,932 is: 570,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,726 : 268,932 = 268,932 : x
  2. Step 2: Convert to fraction form
    126,726/268,932 = 268,932/x
  3. Step 3: Cross multiply
    126,726x = 268,932 × 268,932
  4. Step 4: Simplify right side
    126,726x = 72,324,420,624
  5. Step 5: Solve for x
    x = 72,324,420,624/126,726
  6. Step 6: Final answer
    x = 570,714.93

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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.