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Finding the Third Proportional to 79,828 and 125,226

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Solution

The third proportional to 79,828 and 125,226 is: 196,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,828 : 125,226 = 125,226 : x
  2. Step 2: Convert to fraction form
    79,828/125,226 = 125,226/x
  3. Step 3: Cross multiply
    79,828x = 125,226 × 125,226
  4. Step 4: Simplify right side
    79,828x = 15,681,551,076
  5. Step 5: Solve for x
    x = 15,681,551,076/79,828
  6. Step 6: Final answer
    x = 196,441.74

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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.