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Finding the Third Proportional to 75.73 and 165.84

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Solution

The third proportional to 75.73 and 165.84 is: 363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.73 : 165.84 = 165.84 : x
  2. Step 2: Convert to fraction form
    75.73/165.84 = 165.84/x
  3. Step 3: Cross multiply
    75.73x = 165.84 × 165.84
  4. Step 4: Simplify right side
    75.73x = 27,504.15
  5. Step 5: Solve for x
    x = 27,504.15/75.73
  6. Step 6: Final answer
    x = 363.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.