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Finding the Third Proportional to 106.07 and 149.13

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Solution

The third proportional to 106.07 and 149.13 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.07 : 149.13 = 149.13 : x
  2. Step 2: Convert to fraction form
    106.07/149.13 = 149.13/x
  3. Step 3: Cross multiply
    106.07x = 149.13 × 149.13
  4. Step 4: Simplify right side
    106.07x = 22,240.60
  5. Step 5: Solve for x
    x = 22,240.60/106.07
  6. Step 6: Final answer
    x = 209.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.