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Finding the Third Proportional to 73.41 and 109.97

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Solution

The third proportional to 73.41 and 109.97 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.41 : 109.97 = 109.97 : x
  2. Step 2: Convert to fraction form
    73.41/109.97 = 109.97/x
  3. Step 3: Cross multiply
    73.41x = 109.97 × 109.97
  4. Step 4: Simplify right side
    73.41x = 12,093.13
  5. Step 5: Solve for x
    x = 12,093.13/73.41
  6. Step 6: Final answer
    x = 164.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.