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Finding the Third Proportional to 88.41 and 133.59

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Solution

The third proportional to 88.41 and 133.59 is: 201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.41 : 133.59 = 133.59 : x
  2. Step 2: Convert to fraction form
    88.41/133.59 = 133.59/x
  3. Step 3: Cross multiply
    88.41x = 133.59 × 133.59
  4. Step 4: Simplify right side
    88.41x = 17,847.29
  5. Step 5: Solve for x
    x = 17,847.29/88.41
  6. Step 6: Final answer
    x = 201.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.