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Finding the Third Proportional to 110.75 and 163.94

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Solution

The third proportional to 110.75 and 163.94 is: 242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.75 : 163.94 = 163.94 : x
  2. Step 2: Convert to fraction form
    110.75/163.94 = 163.94/x
  3. Step 3: Cross multiply
    110.75x = 163.94 × 163.94
  4. Step 4: Simplify right side
    110.75x = 26,875.50
  5. Step 5: Solve for x
    x = 26,875.50/110.75
  6. Step 6: Final answer
    x = 242.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.