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Finding the Third Proportional to 122.92 and 184.62

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Solution

The third proportional to 122.92 and 184.62 is: 277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 184.62 = 184.62 : x
  2. Step 2: Convert to fraction form
    122.92/184.62 = 184.62/x
  3. Step 3: Cross multiply
    122.92x = 184.62 × 184.62
  4. Step 4: Simplify right side
    122.92x = 34,085.67
  5. Step 5: Solve for x
    x = 34,085.67/122.92
  6. Step 6: Final answer
    x = 277.29

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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.