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Finding the Third Proportional to 85,005 and 133,067

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Solution

The third proportional to 85,005 and 133,067 is: 208,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,005 : 133,067 = 133,067 : x
  2. Step 2: Convert to fraction form
    85,005/133,067 = 133,067/x
  3. Step 3: Cross multiply
    85,005x = 133,067 × 133,067
  4. Step 4: Simplify right side
    85,005x = 17,706,826,489
  5. Step 5: Solve for x
    x = 17,706,826,489/85,005
  6. Step 6: Final answer
    x = 208,303.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.