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Finding the Third Proportional to 50,592 and 80,568

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Solution

The third proportional to 50,592 and 80,568 is: 128,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,592 : 80,568 = 80,568 : x
  2. Step 2: Convert to fraction form
    50,592/80,568 = 80,568/x
  3. Step 3: Cross multiply
    50,592x = 80,568 × 80,568
  4. Step 4: Simplify right side
    50,592x = 6,491,202,624
  5. Step 5: Solve for x
    x = 6,491,202,624/50,592
  6. Step 6: Final answer
    x = 128,304.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.