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Finding the Third Proportional to 123,006.75 and 183,560.75

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Solution

The third proportional to 123,006.75 and 183,560.75 is: 273,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,006.75 : 183,560.75 = 183,560.75 : x
  2. Step 2: Convert to fraction form
    123,006.75/183,560.75 = 183,560.75/x
  3. Step 3: Cross multiply
    123,006.75x = 183,560.75 × 183,560.75
  4. Step 4: Simplify right side
    123,006.75x = 33,694,548,940.56
  5. Step 5: Solve for x
    x = 33,694,548,940.56/123,006.75
  6. Step 6: Final answer
    x = 273,924.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.