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Finding the Third Proportional to 57,467.75 and 113,461.75

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Solution

The third proportional to 57,467.75 and 113,461.75 is: 224,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,467.75 : 113,461.75 = 113,461.75 : x
  2. Step 2: Convert to fraction form
    57,467.75/113,461.75 = 113,461.75/x
  3. Step 3: Cross multiply
    57,467.75x = 113,461.75 × 113,461.75
  4. Step 4: Simplify right side
    57,467.75x = 12,873,568,713.06
  5. Step 5: Solve for x
    x = 12,873,568,713.06/57,467.75
  6. Step 6: Final answer
    x = 224,013.79

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.