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Finding the Third Proportional to 90.39 and 187.21

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Solution

The third proportional to 90.39 and 187.21 is: 387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.39 : 187.21 = 187.21 : x
  2. Step 2: Convert to fraction form
    90.39/187.21 = 187.21/x
  3. Step 3: Cross multiply
    90.39x = 187.21 × 187.21
  4. Step 4: Simplify right side
    90.39x = 35,046.47
  5. Step 5: Solve for x
    x = 35,046.47/90.39
  6. Step 6: Final answer
    x = 387.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.