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Finding the Third Proportional to 50,589 and 74,244

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Solution

The third proportional to 50,589 and 74,244 is: 108,959.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,589 : 74,244 = 74,244 : x
  2. Step 2: Convert to fraction form
    50,589/74,244 = 74,244/x
  3. Step 3: Cross multiply
    50,589x = 74,244 × 74,244
  4. Step 4: Simplify right side
    50,589x = 5,512,171,536
  5. Step 5: Solve for x
    x = 5,512,171,536/50,589
  6. Step 6: Final answer
    x = 108,959.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.