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Finding the Third Proportional to 123,023.81 and 192,736.97

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Solution

The third proportional to 123,023.81 and 192,736.97 is: 301,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,023.81 : 192,736.97 = 192,736.97 : x
  2. Step 2: Convert to fraction form
    123,023.81/192,736.97 = 192,736.97/x
  3. Step 3: Cross multiply
    123,023.81x = 192,736.97 × 192,736.97
  4. Step 4: Simplify right side
    123,023.81x = 37,147,539,122.94
  5. Step 5: Solve for x
    x = 37,147,539,122.94/123,023.81
  6. Step 6: Final answer
    x = 301,954.06

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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.