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Finding the Third Proportional to 126,731 and 268,022

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Solution

The third proportional to 126,731 and 268,022 is: 566,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,731 : 268,022 = 268,022 : x
  2. Step 2: Convert to fraction form
    126,731/268,022 = 268,022/x
  3. Step 3: Cross multiply
    126,731x = 268,022 × 268,022
  4. Step 4: Simplify right side
    126,731x = 71,835,792,484
  5. Step 5: Solve for x
    x = 71,835,792,484/126,731
  6. Step 6: Final answer
    x = 566,836.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.