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Finding the Third Proportional to 67.94 and 100.22

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Solution

The third proportional to 67.94 and 100.22 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.94 : 100.22 = 100.22 : x
  2. Step 2: Convert to fraction form
    67.94/100.22 = 100.22/x
  3. Step 3: Cross multiply
    67.94x = 100.22 × 100.22
  4. Step 4: Simplify right side
    67.94x = 10,043.80
  5. Step 5: Solve for x
    x = 10,043.80/67.94
  6. Step 6: Final answer
    x = 147.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.