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Finding the Third Proportional to 120.52 and 192.09

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Solution

The third proportional to 120.52 and 192.09 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 192.09 = 192.09 : x
  2. Step 2: Convert to fraction form
    120.52/192.09 = 192.09/x
  3. Step 3: Cross multiply
    120.52x = 192.09 × 192.09
  4. Step 4: Simplify right side
    120.52x = 36,900.01
  5. Step 5: Solve for x
    x = 36,900.01/120.52
  6. Step 6: Final answer
    x = 306.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.