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Finding the Third Proportional to 73.83 and 110.74

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Solution

The third proportional to 73.83 and 110.74 is: 166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.83 : 110.74 = 110.74 : x
  2. Step 2: Convert to fraction form
    73.83/110.74 = 110.74/x
  3. Step 3: Cross multiply
    73.83x = 110.74 × 110.74
  4. Step 4: Simplify right side
    73.83x = 12,263.83
  5. Step 5: Solve for x
    x = 12,263.83/73.83
  6. Step 6: Final answer
    x = 166.11

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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.