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Finding the Third Proportional to 114.62 and 192.10

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Solution

The third proportional to 114.62 and 192.10 is: 321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.62 : 192.10 = 192.10 : x
  2. Step 2: Convert to fraction form
    114.62/192.10 = 192.10/x
  3. Step 3: Cross multiply
    114.62x = 192.10 × 192.10
  4. Step 4: Simplify right side
    114.62x = 36,901.70
  5. Step 5: Solve for x
    x = 36,901.70/114.62
  6. Step 6: Final answer
    x = 321.95

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.