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Finding the Third Proportional to 57,958.38 and 123,571.63

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Solution

The third proportional to 57,958.38 and 123,571.63 is: 263,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,958.38 : 123,571.63 = 123,571.63 : x
  2. Step 2: Convert to fraction form
    57,958.38/123,571.63 = 123,571.63/x
  3. Step 3: Cross multiply
    57,958.38x = 123,571.63 × 123,571.63
  4. Step 4: Simplify right side
    57,958.38x = 15,269,946,505.14
  5. Step 5: Solve for x
    x = 15,269,946,505.14/57,958.38
  6. Step 6: Final answer
    x = 263,464.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.