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Finding the Third Proportional to 107.84 and 164.97

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Solution

The third proportional to 107.84 and 164.97 is: 252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 164.97 = 164.97 : x
  2. Step 2: Convert to fraction form
    107.84/164.97 = 164.97/x
  3. Step 3: Cross multiply
    107.84x = 164.97 × 164.97
  4. Step 4: Simplify right side
    107.84x = 27,214.69
  5. Step 5: Solve for x
    x = 27,214.69/107.84
  6. Step 6: Final answer
    x = 252.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.