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Finding the Third Proportional to 90.84 and 111.94

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Solution

The third proportional to 90.84 and 111.94 is: 137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.84 : 111.94 = 111.94 : x
  2. Step 2: Convert to fraction form
    90.84/111.94 = 111.94/x
  3. Step 3: Cross multiply
    90.84x = 111.94 × 111.94
  4. Step 4: Simplify right side
    90.84x = 12,530.00
  5. Step 5: Solve for x
    x = 12,530.00/90.84
  6. Step 6: Final answer
    x = 137.93

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.