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Finding the Third Proportional to 133.88 and 188.69

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Solution

The third proportional to 133.88 and 188.69 is: 265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.88 : 188.69 = 188.69 : x
  2. Step 2: Convert to fraction form
    133.88/188.69 = 188.69/x
  3. Step 3: Cross multiply
    133.88x = 188.69 × 188.69
  4. Step 4: Simplify right side
    133.88x = 35,602.97
  5. Step 5: Solve for x
    x = 35,602.97/133.88
  6. Step 6: Final answer
    x = 265.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.