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Finding the Third Proportional to 136.22 and 150.56

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Solution

The third proportional to 136.22 and 150.56 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.22 : 150.56 = 150.56 : x
  2. Step 2: Convert to fraction form
    136.22/150.56 = 150.56/x
  3. Step 3: Cross multiply
    136.22x = 150.56 × 150.56
  4. Step 4: Simplify right side
    136.22x = 22,669.07
  5. Step 5: Solve for x
    x = 22,669.07/136.22
  6. Step 6: Final answer
    x = 166.42

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.