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Finding the Third Proportional to 106.95 and 148.71

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Solution

The third proportional to 106.95 and 148.71 is: 206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.95 : 148.71 = 148.71 : x
  2. Step 2: Convert to fraction form
    106.95/148.71 = 148.71/x
  3. Step 3: Cross multiply
    106.95x = 148.71 × 148.71
  4. Step 4: Simplify right side
    106.95x = 22,114.94
  5. Step 5: Solve for x
    x = 22,114.94/106.95
  6. Step 6: Final answer
    x = 206.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.