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Finding the Third Proportional to 106.22 and 155.36

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Solution

The third proportional to 106.22 and 155.36 is: 227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.22 : 155.36 = 155.36 : x
  2. Step 2: Convert to fraction form
    106.22/155.36 = 155.36/x
  3. Step 3: Cross multiply
    106.22x = 155.36 × 155.36
  4. Step 4: Simplify right side
    106.22x = 24,136.54
  5. Step 5: Solve for x
    x = 24,136.54/106.22
  6. Step 6: Final answer
    x = 227.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.