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Finding the Third Proportional to 57,213.75 and 119,655.75

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Solution

The third proportional to 57,213.75 and 119,655.75 is: 250,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213.75 : 119,655.75 = 119,655.75 : x
  2. Step 2: Convert to fraction form
    57,213.75/119,655.75 = 119,655.75/x
  3. Step 3: Cross multiply
    57,213.75x = 119,655.75 × 119,655.75
  4. Step 4: Simplify right side
    57,213.75x = 14,317,498,508.06
  5. Step 5: Solve for x
    x = 14,317,498,508.06/57,213.75
  6. Step 6: Final answer
    x = 250,245.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.