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Finding the Third Proportional to 69,016 and 106,868

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Solution

The third proportional to 69,016 and 106,868 is: 165,480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,016 : 106,868 = 106,868 : x
  2. Step 2: Convert to fraction form
    69,016/106,868 = 106,868/x
  3. Step 3: Cross multiply
    69,016x = 106,868 × 106,868
  4. Step 4: Simplify right side
    69,016x = 11,420,769,424
  5. Step 5: Solve for x
    x = 11,420,769,424/69,016
  6. Step 6: Final answer
    x = 165,480.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.