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Finding the Third Proportional to 94.27 and 110.67

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Solution

The third proportional to 94.27 and 110.67 is: 129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.27 : 110.67 = 110.67 : x
  2. Step 2: Convert to fraction form
    94.27/110.67 = 110.67/x
  3. Step 3: Cross multiply
    94.27x = 110.67 × 110.67
  4. Step 4: Simplify right side
    94.27x = 12,248.26
  5. Step 5: Solve for x
    x = 12,248.26/94.27
  6. Step 6: Final answer
    x = 129.93

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.