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Finding the Third Proportional to 49.69 and 110.67

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Solution

The third proportional to 49.69 and 110.67 is: 246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.69 : 110.67 = 110.67 : x
  2. Step 2: Convert to fraction form
    49.69/110.67 = 110.67/x
  3. Step 3: Cross multiply
    49.69x = 110.67 × 110.67
  4. Step 4: Simplify right side
    49.69x = 12,248.26
  5. Step 5: Solve for x
    x = 12,248.26/49.69
  6. Step 6: Final answer
    x = 246.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.