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Finding the Third Proportional to 126,762 and 269,682

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Solution

The third proportional to 126,762 and 269,682 is: 573,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,762 : 269,682 = 269,682 : x
  2. Step 2: Convert to fraction form
    126,762/269,682 = 269,682/x
  3. Step 3: Cross multiply
    126,762x = 269,682 × 269,682
  4. Step 4: Simplify right side
    126,762x = 72,728,381,124
  5. Step 5: Solve for x
    x = 72,728,381,124/126,762
  6. Step 6: Final answer
    x = 573,739.62

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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.