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Finding the Third Proportional to 50,196 and 80,721

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Solution

The third proportional to 50,196 and 80,721 is: 129,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,196 : 80,721 = 80,721 : x
  2. Step 2: Convert to fraction form
    50,196/80,721 = 80,721/x
  3. Step 3: Cross multiply
    50,196x = 80,721 × 80,721
  4. Step 4: Simplify right side
    50,196x = 6,515,879,841
  5. Step 5: Solve for x
    x = 6,515,879,841/50,196
  6. Step 6: Final answer
    x = 129,808.75

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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.