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Finding the Third Proportional to 122.06 and 194.81

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Solution

The third proportional to 122.06 and 194.81 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 194.81 = 194.81 : x
  2. Step 2: Convert to fraction form
    122.06/194.81 = 194.81/x
  3. Step 3: Cross multiply
    122.06x = 194.81 × 194.81
  4. Step 4: Simplify right side
    122.06x = 37,951.91
  5. Step 5: Solve for x
    x = 37,951.91/122.06
  6. Step 6: Final answer
    x = 310.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.