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Finding the Third Proportional to 76.92 and 92.67

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Solution

The third proportional to 76.92 and 92.67 is: 111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 92.67 = 92.67 : x
  2. Step 2: Convert to fraction form
    76.92/92.67 = 92.67/x
  3. Step 3: Cross multiply
    76.92x = 92.67 × 92.67
  4. Step 4: Simplify right side
    76.92x = 8,588.08
  5. Step 5: Solve for x
    x = 8,588.08/76.92
  6. Step 6: Final answer
    x = 111.65

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.