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Finding the Third Proportional to 31,644 and 68,868

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Solution

The third proportional to 31,644 and 68,868 is: 149,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644 : 68,868 = 68,868 : x
  2. Step 2: Convert to fraction form
    31,644/68,868 = 68,868/x
  3. Step 3: Cross multiply
    31,644x = 68,868 × 68,868
  4. Step 4: Simplify right side
    31,644x = 4,742,801,424
  5. Step 5: Solve for x
    x = 4,742,801,424/31,644
  6. Step 6: Final answer
    x = 149,879.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.