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Finding the Third Proportional to 73,486 and 110,067

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Solution

The third proportional to 73,486 and 110,067 is: 164,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,486 : 110,067 = 110,067 : x
  2. Step 2: Convert to fraction form
    73,486/110,067 = 110,067/x
  3. Step 3: Cross multiply
    73,486x = 110,067 × 110,067
  4. Step 4: Simplify right side
    73,486x = 12,114,744,489
  5. Step 5: Solve for x
    x = 12,114,744,489/73,486
  6. Step 6: Final answer
    x = 164,857.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.