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Finding the Third Proportional to 57,362.25 and 123,027.94

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Solution

The third proportional to 57,362.25 and 123,027.94 is: 263,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,362.25 : 123,027.94 = 123,027.94 : x
  2. Step 2: Convert to fraction form
    57,362.25/123,027.94 = 123,027.94/x
  3. Step 3: Cross multiply
    57,362.25x = 123,027.94 × 123,027.94
  4. Step 4: Simplify right side
    57,362.25x = 15,135,873,405.50
  5. Step 5: Solve for x
    x = 15,135,873,405.50/57,362.25
  6. Step 6: Final answer
    x = 263,864.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.