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Finding the Third Proportional to 121.69 and 140.25

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Solution

The third proportional to 121.69 and 140.25 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.69 : 140.25 = 140.25 : x
  2. Step 2: Convert to fraction form
    121.69/140.25 = 140.25/x
  3. Step 3: Cross multiply
    121.69x = 140.25 × 140.25
  4. Step 4: Simplify right side
    121.69x = 19,670.06
  5. Step 5: Solve for x
    x = 19,670.06/121.69
  6. Step 6: Final answer
    x = 161.64

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.