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Finding the Third Proportional to 73.76 and 110.67

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Solution

The third proportional to 73.76 and 110.67 is: 166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.76 : 110.67 = 110.67 : x
  2. Step 2: Convert to fraction form
    73.76/110.67 = 110.67/x
  3. Step 3: Cross multiply
    73.76x = 110.67 × 110.67
  4. Step 4: Simplify right side
    73.76x = 12,248.26
  5. Step 5: Solve for x
    x = 12,248.26/73.76
  6. Step 6: Final answer
    x = 166.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.