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Finding the Third Proportional to 136.41 and 190.83

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Solution

The third proportional to 136.41 and 190.83 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.41 : 190.83 = 190.83 : x
  2. Step 2: Convert to fraction form
    136.41/190.83 = 190.83/x
  3. Step 3: Cross multiply
    136.41x = 190.83 × 190.83
  4. Step 4: Simplify right side
    136.41x = 36,415.37
  5. Step 5: Solve for x
    x = 36,415.37/136.41
  6. Step 6: Final answer
    x = 266.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.