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Finding the Third Proportional to 33,099 and 78,067

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Solution

The third proportional to 33,099 and 78,067 is: 184,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099 : 78,067 = 78,067 : x
  2. Step 2: Convert to fraction form
    33,099/78,067 = 78,067/x
  3. Step 3: Cross multiply
    33,099x = 78,067 × 78,067
  4. Step 4: Simplify right side
    33,099x = 6,094,456,489
  5. Step 5: Solve for x
    x = 6,094,456,489/33,099
  6. Step 6: Final answer
    x = 184,128.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.