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Finding the Third Proportional to 121.75 and 165.25

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Solution

The third proportional to 121.75 and 165.25 is: 224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 165.25 = 165.25 : x
  2. Step 2: Convert to fraction form
    121.75/165.25 = 165.25/x
  3. Step 3: Cross multiply
    121.75x = 165.25 × 165.25
  4. Step 4: Simplify right side
    121.75x = 27,307.56
  5. Step 5: Solve for x
    x = 27,307.56/121.75
  6. Step 6: Final answer
    x = 224.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.