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Finding the Third Proportional to 106.69 and 155.06

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Solution

The third proportional to 106.69 and 155.06 is: 225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.69 : 155.06 = 155.06 : x
  2. Step 2: Convert to fraction form
    106.69/155.06 = 155.06/x
  3. Step 3: Cross multiply
    106.69x = 155.06 × 155.06
  4. Step 4: Simplify right side
    106.69x = 24,044.38
  5. Step 5: Solve for x
    x = 24,044.38/106.69
  6. Step 6: Final answer
    x = 225.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.