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Finding the Third Proportional to 122.77 and 184.15

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Solution

The third proportional to 122.77 and 184.15 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.77 : 184.15 = 184.15 : x
  2. Step 2: Convert to fraction form
    122.77/184.15 = 184.15/x
  3. Step 3: Cross multiply
    122.77x = 184.15 × 184.15
  4. Step 4: Simplify right side
    122.77x = 33,910.65
  5. Step 5: Solve for x
    x = 33,910.65/122.77
  6. Step 6: Final answer
    x = 276.22

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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.