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Finding the Third Proportional to 97.25 and 146.19

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Solution

The third proportional to 97.25 and 146.19 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.25 : 146.19 = 146.19 : x
  2. Step 2: Convert to fraction form
    97.25/146.19 = 146.19/x
  3. Step 3: Cross multiply
    97.25x = 146.19 × 146.19
  4. Step 4: Simplify right side
    97.25x = 21,370.79
  5. Step 5: Solve for x
    x = 21,370.79/97.25
  6. Step 6: Final answer
    x = 219.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.