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Finding the Third Proportional to 50,504 and 109,744

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Solution

The third proportional to 50,504 and 109,744 is: 238,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,504 : 109,744 = 109,744 : x
  2. Step 2: Convert to fraction form
    50,504/109,744 = 109,744/x
  3. Step 3: Cross multiply
    50,504x = 109,744 × 109,744
  4. Step 4: Simplify right side
    50,504x = 12,043,745,536
  5. Step 5: Solve for x
    x = 12,043,745,536/50,504
  6. Step 6: Final answer
    x = 238,471.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.