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Finding the Third Proportional to 73.88 and 110.86

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Solution

The third proportional to 73.88 and 110.86 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.88 : 110.86 = 110.86 : x
  2. Step 2: Convert to fraction form
    73.88/110.86 = 110.86/x
  3. Step 3: Cross multiply
    73.88x = 110.86 × 110.86
  4. Step 4: Simplify right side
    73.88x = 12,289.80
  5. Step 5: Solve for x
    x = 12,289.80/73.88
  6. Step 6: Final answer
    x = 166.36

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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.