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Finding the Third Proportional to 40,067 and 87,089

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Solution

The third proportional to 40,067 and 87,089 is: 189,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,067 : 87,089 = 87,089 : x
  2. Step 2: Convert to fraction form
    40,067/87,089 = 87,089/x
  3. Step 3: Cross multiply
    40,067x = 87,089 × 87,089
  4. Step 4: Simplify right side
    40,067x = 7,584,493,921
  5. Step 5: Solve for x
    x = 7,584,493,921/40,067
  6. Step 6: Final answer
    x = 189,295.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.