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Finding the Third Proportional to 69.94 and 90.97

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Solution

The third proportional to 69.94 and 90.97 is: 118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.94 : 90.97 = 90.97 : x
  2. Step 2: Convert to fraction form
    69.94/90.97 = 90.97/x
  3. Step 3: Cross multiply
    69.94x = 90.97 × 90.97
  4. Step 4: Simplify right side
    69.94x = 8,275.31
  5. Step 5: Solve for x
    x = 8,275.31/69.94
  6. Step 6: Final answer
    x = 118.32

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.