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Finding the Third Proportional to 126,320 and 182,496

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Solution

The third proportional to 126,320 and 182,496 is: 263,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,320 : 182,496 = 182,496 : x
  2. Step 2: Convert to fraction form
    126,320/182,496 = 182,496/x
  3. Step 3: Cross multiply
    126,320x = 182,496 × 182,496
  4. Step 4: Simplify right side
    126,320x = 33,304,790,016
  5. Step 5: Solve for x
    x = 33,304,790,016/126,320
  6. Step 6: Final answer
    x = 263,654.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.