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Finding the Third Proportional to 57,936.38 and 122,100.75

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Solution

The third proportional to 57,936.38 and 122,100.75 is: 257,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,936.38 : 122,100.75 = 122,100.75 : x
  2. Step 2: Convert to fraction form
    57,936.38/122,100.75 = 122,100.75/x
  3. Step 3: Cross multiply
    57,936.38x = 122,100.75 × 122,100.75
  4. Step 4: Simplify right side
    57,936.38x = 14,908,593,150.56
  5. Step 5: Solve for x
    x = 14,908,593,150.56/57,936.38
  6. Step 6: Final answer
    x = 257,326.99

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.