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Finding the Third Proportional to 106.50 and 163.75

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Solution

The third proportional to 106.50 and 163.75 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 163.75 = 163.75 : x
  2. Step 2: Convert to fraction form
    106.50/163.75 = 163.75/x
  3. Step 3: Cross multiply
    106.50x = 163.75 × 163.75
  4. Step 4: Simplify right side
    106.50x = 26,814.06
  5. Step 5: Solve for x
    x = 26,814.06/106.50
  6. Step 6: Final answer
    x = 251.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.