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Finding the Third Proportional to 106.59 and 144.66

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Solution

The third proportional to 106.59 and 144.66 is: 196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.59 : 144.66 = 144.66 : x
  2. Step 2: Convert to fraction form
    106.59/144.66 = 144.66/x
  3. Step 3: Cross multiply
    106.59x = 144.66 × 144.66
  4. Step 4: Simplify right side
    106.59x = 20,925.43
  5. Step 5: Solve for x
    x = 20,925.43/106.59
  6. Step 6: Final answer
    x = 196.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.