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Finding the Third Proportional to 123,048 and 192,768

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Solution

The third proportional to 123,048 and 192,768 is: 301,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,048 : 192,768 = 192,768 : x
  2. Step 2: Convert to fraction form
    123,048/192,768 = 192,768/x
  3. Step 3: Cross multiply
    123,048x = 192,768 × 192,768
  4. Step 4: Simplify right side
    123,048x = 37,159,501,824
  5. Step 5: Solve for x
    x = 37,159,501,824/123,048
  6. Step 6: Final answer
    x = 301,991.92

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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.