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Finding the Third Proportional to 121.94 and 165.47

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Solution

The third proportional to 121.94 and 165.47 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.94 : 165.47 = 165.47 : x
  2. Step 2: Convert to fraction form
    121.94/165.47 = 165.47/x
  3. Step 3: Cross multiply
    121.94x = 165.47 × 165.47
  4. Step 4: Simplify right side
    121.94x = 27,379.91
  5. Step 5: Solve for x
    x = 27,379.91/121.94
  6. Step 6: Final answer
    x = 224.54

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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.