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Finding the Third Proportional to 73.14 and 110.17

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Solution

The third proportional to 73.14 and 110.17 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.14 : 110.17 = 110.17 : x
  2. Step 2: Convert to fraction form
    73.14/110.17 = 110.17/x
  3. Step 3: Cross multiply
    73.14x = 110.17 × 110.17
  4. Step 4: Simplify right side
    73.14x = 12,136.98
  5. Step 5: Solve for x
    x = 12,136.98/73.14
  6. Step 6: Final answer
    x = 165.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.