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Finding the Third Proportional to 31,195 and 66,856

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Solution

The third proportional to 31,195 and 66,856 is: 143,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195 : 66,856 = 66,856 : x
  2. Step 2: Convert to fraction form
    31,195/66,856 = 66,856/x
  3. Step 3: Cross multiply
    31,195x = 66,856 × 66,856
  4. Step 4: Simplify right side
    31,195x = 4,469,724,736
  5. Step 5: Solve for x
    x = 4,469,724,736/31,195
  6. Step 6: Final answer
    x = 143,283.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.