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Finding the Third Proportional to 50,199.75 and 80,711.44

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Solution

The third proportional to 50,199.75 and 80,711.44 is: 129,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,199.75 : 80,711.44 = 80,711.44 : x
  2. Step 2: Convert to fraction form
    50,199.75/80,711.44 = 80,711.44/x
  3. Step 3: Cross multiply
    50,199.75x = 80,711.44 × 80,711.44
  4. Step 4: Simplify right side
    50,199.75x = 6,514,336,143.32
  5. Step 5: Solve for x
    x = 6,514,336,143.32/50,199.75
  6. Step 6: Final answer
    x = 129,768.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.