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Finding the Third Proportional to 80,744 and 126,022

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Solution

The third proportional to 80,744 and 126,022 is: 196,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,744 : 126,022 = 126,022 : x
  2. Step 2: Convert to fraction form
    80,744/126,022 = 126,022/x
  3. Step 3: Cross multiply
    80,744x = 126,022 × 126,022
  4. Step 4: Simplify right side
    80,744x = 15,881,544,484
  5. Step 5: Solve for x
    x = 15,881,544,484/80,744
  6. Step 6: Final answer
    x = 196,690.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.