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Finding the Third Proportional to 104.75 and 166.25

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Solution

The third proportional to 104.75 and 166.25 is: 263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.75 : 166.25 = 166.25 : x
  2. Step 2: Convert to fraction form
    104.75/166.25 = 166.25/x
  3. Step 3: Cross multiply
    104.75x = 166.25 × 166.25
  4. Step 4: Simplify right side
    104.75x = 27,639.06
  5. Step 5: Solve for x
    x = 27,639.06/104.75
  6. Step 6: Final answer
    x = 263.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.