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Finding the Third Proportional to 79,877 and 125,301

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Solution

The third proportional to 79,877 and 125,301 is: 196,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,877 : 125,301 = 125,301 : x
  2. Step 2: Convert to fraction form
    79,877/125,301 = 125,301/x
  3. Step 3: Cross multiply
    79,877x = 125,301 × 125,301
  4. Step 4: Simplify right side
    79,877x = 15,700,340,601
  5. Step 5: Solve for x
    x = 15,700,340,601/79,877
  6. Step 6: Final answer
    x = 196,556.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.