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Finding the Third Proportional to 79,274 and 116,067

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Solution

The third proportional to 79,274 and 116,067 is: 169,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,274 : 116,067 = 116,067 : x
  2. Step 2: Convert to fraction form
    79,274/116,067 = 116,067/x
  3. Step 3: Cross multiply
    79,274x = 116,067 × 116,067
  4. Step 4: Simplify right side
    79,274x = 13,471,548,489
  5. Step 5: Solve for x
    x = 13,471,548,489/79,274
  6. Step 6: Final answer
    x = 169,936.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.