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Finding the Third Proportional to 107.26 and 164.69

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Solution

The third proportional to 107.26 and 164.69 is: 252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 164.69 = 164.69 : x
  2. Step 2: Convert to fraction form
    107.26/164.69 = 164.69/x
  3. Step 3: Cross multiply
    107.26x = 164.69 × 164.69
  4. Step 4: Simplify right side
    107.26x = 27,122.62
  5. Step 5: Solve for x
    x = 27,122.62/107.26
  6. Step 6: Final answer
    x = 252.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.