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Finding the Third Proportional to 122.75 and 184.25

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Solution

The third proportional to 122.75 and 184.25 is: 276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 184.25 = 184.25 : x
  2. Step 2: Convert to fraction form
    122.75/184.25 = 184.25/x
  3. Step 3: Cross multiply
    122.75x = 184.25 × 184.25
  4. Step 4: Simplify right side
    122.75x = 33,948.06
  5. Step 5: Solve for x
    x = 33,948.06/122.75
  6. Step 6: Final answer
    x = 276.56

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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.