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Finding the Third Proportional to 92.53 and 195.61

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Solution

The third proportional to 92.53 and 195.61 is: 413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.53 : 195.61 = 195.61 : x
  2. Step 2: Convert to fraction form
    92.53/195.61 = 195.61/x
  3. Step 3: Cross multiply
    92.53x = 195.61 × 195.61
  4. Step 4: Simplify right side
    92.53x = 38,263.03
  5. Step 5: Solve for x
    x = 38,263.03/92.53
  6. Step 6: Final answer
    x = 413.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.