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Finding the Third Proportional to 118.88 and 173.81

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Solution

The third proportional to 118.88 and 173.81 is: 254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.88 : 173.81 = 173.81 : x
  2. Step 2: Convert to fraction form
    118.88/173.81 = 173.81/x
  3. Step 3: Cross multiply
    118.88x = 173.81 × 173.81
  4. Step 4: Simplify right side
    118.88x = 30,210.79
  5. Step 5: Solve for x
    x = 30,210.79/118.88
  6. Step 6: Final answer
    x = 254.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.