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Finding the Third Proportional to 90.89 and 136.83

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Solution

The third proportional to 90.89 and 136.83 is: 205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.89 : 136.83 = 136.83 : x
  2. Step 2: Convert to fraction form
    90.89/136.83 = 136.83/x
  3. Step 3: Cross multiply
    90.89x = 136.83 × 136.83
  4. Step 4: Simplify right side
    90.89x = 18,721.94
  5. Step 5: Solve for x
    x = 18,721.94/90.89
  6. Step 6: Final answer
    x = 205.98

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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.