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Finding the Third Proportional to 79,816 and 125,208

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Solution

The third proportional to 79,816 and 125,208 is: 196,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,816 : 125,208 = 125,208 : x
  2. Step 2: Convert to fraction form
    79,816/125,208 = 125,208/x
  3. Step 3: Cross multiply
    79,816x = 125,208 × 125,208
  4. Step 4: Simplify right side
    79,816x = 15,677,043,264
  5. Step 5: Solve for x
    x = 15,677,043,264/79,816
  6. Step 6: Final answer
    x = 196,414.79

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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.