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Finding the Third Proportional to 86,067 and 184,653

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Solution

The third proportional to 86,067 and 184,653 is: 396,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,067 : 184,653 = 184,653 : x
  2. Step 2: Convert to fraction form
    86,067/184,653 = 184,653/x
  3. Step 3: Cross multiply
    86,067x = 184,653 × 184,653
  4. Step 4: Simplify right side
    86,067x = 34,096,730,409
  5. Step 5: Solve for x
    x = 34,096,730,409/86,067
  6. Step 6: Final answer
    x = 396,164.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.