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Finding the Third Proportional to 122,727 and 192,825

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Solution

The third proportional to 122,727 and 192,825 is: 302,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,727 : 192,825 = 192,825 : x
  2. Step 2: Convert to fraction form
    122,727/192,825 = 192,825/x
  3. Step 3: Cross multiply
    122,727x = 192,825 × 192,825
  4. Step 4: Simplify right side
    122,727x = 37,181,480,625
  5. Step 5: Solve for x
    x = 37,181,480,625/122,727
  6. Step 6: Final answer
    x = 302,960.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.