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Finding the Third Proportional to 50,744 and 109,048

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Solution

The third proportional to 50,744 and 109,048 is: 234,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,744 : 109,048 = 109,048 : x
  2. Step 2: Convert to fraction form
    50,744/109,048 = 109,048/x
  3. Step 3: Cross multiply
    50,744x = 109,048 × 109,048
  4. Step 4: Simplify right side
    50,744x = 11,891,466,304
  5. Step 5: Solve for x
    x = 11,891,466,304/50,744
  6. Step 6: Final answer
    x = 234,342.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.