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Finding the Third Proportional to 120 and 193.13

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Solution

The third proportional to 120 and 193.13 is: 310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 193.13 = 193.13 : x
  2. Step 2: Convert to fraction form
    120/193.13 = 193.13/x
  3. Step 3: Cross multiply
    120x = 193.13 × 193.13
  4. Step 4: Simplify right side
    120x = 37,297.27
  5. Step 5: Solve for x
    x = 37,297.27/120
  6. Step 6: Final answer
    x = 310.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.