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Finding the Third Proportional to 106.83 and 165.94

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Solution

The third proportional to 106.83 and 165.94 is: 257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.83 : 165.94 = 165.94 : x
  2. Step 2: Convert to fraction form
    106.83/165.94 = 165.94/x
  3. Step 3: Cross multiply
    106.83x = 165.94 × 165.94
  4. Step 4: Simplify right side
    106.83x = 27,535.25
  5. Step 5: Solve for x
    x = 27,535.25/106.83
  6. Step 6: Final answer
    x = 257.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.