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Finding the Third Proportional to 120.88 and 194.61

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Solution

The third proportional to 120.88 and 194.61 is: 313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 194.61 = 194.61 : x
  2. Step 2: Convert to fraction form
    120.88/194.61 = 194.61/x
  3. Step 3: Cross multiply
    120.88x = 194.61 × 194.61
  4. Step 4: Simplify right side
    120.88x = 37,872.81
  5. Step 5: Solve for x
    x = 37,872.81/120.88
  6. Step 6: Final answer
    x = 313.32

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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.