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Finding the Third Proportional to 89 and 165.25

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Solution

The third proportional to 89 and 165.25 is: 306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89 : 165.25 = 165.25 : x
  2. Step 2: Convert to fraction form
    89/165.25 = 165.25/x
  3. Step 3: Cross multiply
    89x = 165.25 × 165.25
  4. Step 4: Simplify right side
    89x = 27,307.56
  5. Step 5: Solve for x
    x = 27,307.56/89
  6. Step 6: Final answer
    x = 306.83

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.