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Finding the Third Proportional to 121,601.25 and 192,375

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Solution

The third proportional to 121,601.25 and 192,375 is: 304,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,601.25 : 192,375 = 192,375 : x
  2. Step 2: Convert to fraction form
    121,601.25/192,375 = 192,375/x
  3. Step 3: Cross multiply
    121,601.25x = 192,375 × 192,375
  4. Step 4: Simplify right side
    121,601.25x = 37,008,140,625
  5. Step 5: Solve for x
    x = 37,008,140,625/121,601.25
  6. Step 6: Final answer
    x = 304,340.13

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.