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Finding the Third Proportional to 133,005 and 187,067

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Solution

The third proportional to 133,005 and 187,067 is: 263,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,005 : 187,067 = 187,067 : x
  2. Step 2: Convert to fraction form
    133,005/187,067 = 187,067/x
  3. Step 3: Cross multiply
    133,005x = 187,067 × 187,067
  4. Step 4: Simplify right side
    133,005x = 34,994,062,489
  5. Step 5: Solve for x
    x = 34,994,062,489/133,005
  6. Step 6: Final answer
    x = 263,103.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.