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Finding the Third Proportional to 133.52 and 179.64

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Solution

The third proportional to 133.52 and 179.64 is: 241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.52 : 179.64 = 179.64 : x
  2. Step 2: Convert to fraction form
    133.52/179.64 = 179.64/x
  3. Step 3: Cross multiply
    133.52x = 179.64 × 179.64
  4. Step 4: Simplify right side
    133.52x = 32,270.40
  5. Step 5: Solve for x
    x = 32,270.40/133.52
  6. Step 6: Final answer
    x = 241.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.