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Finding the Third Proportional to 67.38 and 110.94

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Solution

The third proportional to 67.38 and 110.94 is: 182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.38 : 110.94 = 110.94 : x
  2. Step 2: Convert to fraction form
    67.38/110.94 = 110.94/x
  3. Step 3: Cross multiply
    67.38x = 110.94 × 110.94
  4. Step 4: Simplify right side
    67.38x = 12,307.13
  5. Step 5: Solve for x
    x = 12,307.13/67.38
  6. Step 6: Final answer
    x = 182.67

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.