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Finding the Third Proportional to 75.66 and 165.09

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Solution

The third proportional to 75.66 and 165.09 is: 360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.66 : 165.09 = 165.09 : x
  2. Step 2: Convert to fraction form
    75.66/165.09 = 165.09/x
  3. Step 3: Cross multiply
    75.66x = 165.09 × 165.09
  4. Step 4: Simplify right side
    75.66x = 27,255.95
  5. Step 5: Solve for x
    x = 27,255.95/75.66
  6. Step 6: Final answer
    x = 360.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.