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Finding the Third Proportional to 57,112.50 and 123,758.75

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Solution

The third proportional to 57,112.50 and 123,758.75 is: 268,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,112.50 : 123,758.75 = 123,758.75 : x
  2. Step 2: Convert to fraction form
    57,112.50/123,758.75 = 123,758.75/x
  3. Step 3: Cross multiply
    57,112.50x = 123,758.75 × 123,758.75
  4. Step 4: Simplify right side
    57,112.50x = 15,316,228,201.56
  5. Step 5: Solve for x
    x = 15,316,228,201.56/57,112.50
  6. Step 6: Final answer
    x = 268,176.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.