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Finding the Third Proportional to 79,736 and 125,098

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Solution

The third proportional to 79,736 and 125,098 is: 196,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,736 : 125,098 = 125,098 : x
  2. Step 2: Convert to fraction form
    79,736/125,098 = 125,098/x
  3. Step 3: Cross multiply
    79,736x = 125,098 × 125,098
  4. Step 4: Simplify right side
    79,736x = 15,649,509,604
  5. Step 5: Solve for x
    x = 15,649,509,604/79,736
  6. Step 6: Final answer
    x = 196,266.55

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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.