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Finding the Third Proportional to 73.94 and 103.97

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Solution

The third proportional to 73.94 and 103.97 is: 146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.94 : 103.97 = 103.97 : x
  2. Step 2: Convert to fraction form
    73.94/103.97 = 103.97/x
  3. Step 3: Cross multiply
    73.94x = 103.97 × 103.97
  4. Step 4: Simplify right side
    73.94x = 10,809.50
  5. Step 5: Solve for x
    x = 10,809.50/73.94
  6. Step 6: Final answer
    x = 146.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.