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Finding the Third Proportional to 103.50 and 163.69

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Solution

The third proportional to 103.50 and 163.69 is: 258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 163.69 = 163.69 : x
  2. Step 2: Convert to fraction form
    103.50/163.69 = 163.69/x
  3. Step 3: Cross multiply
    103.50x = 163.69 × 163.69
  4. Step 4: Simplify right side
    103.50x = 26,793.60
  5. Step 5: Solve for x
    x = 26,793.60/103.50
  6. Step 6: Final answer
    x = 258.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.