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Finding the Third Proportional to 122.75 and 190.56

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Solution

The third proportional to 122.75 and 190.56 is: 295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 190.56 = 190.56 : x
  2. Step 2: Convert to fraction form
    122.75/190.56 = 190.56/x
  3. Step 3: Cross multiply
    122.75x = 190.56 × 190.56
  4. Step 4: Simplify right side
    122.75x = 36,314.07
  5. Step 5: Solve for x
    x = 36,314.07/122.75
  6. Step 6: Final answer
    x = 295.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.