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Finding the Third Proportional to 74.11 and 110.75

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Solution

The third proportional to 74.11 and 110.75 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.11 : 110.75 = 110.75 : x
  2. Step 2: Convert to fraction form
    74.11/110.75 = 110.75/x
  3. Step 3: Cross multiply
    74.11x = 110.75 × 110.75
  4. Step 4: Simplify right side
    74.11x = 12,266.02
  5. Step 5: Solve for x
    x = 12,266.02/74.11
  6. Step 6: Final answer
    x = 165.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.