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Finding the Third Proportional to 57,230.63 and 119,688.75

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Solution

The third proportional to 57,230.63 and 119,688.75 is: 250,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.63 : 119,688.75 = 119,688.75 : x
  2. Step 2: Convert to fraction form
    57,230.63/119,688.75 = 119,688.75/x
  3. Step 3: Cross multiply
    57,230.63x = 119,688.75 × 119,688.75
  4. Step 4: Simplify right side
    57,230.63x = 14,325,396,876.56
  5. Step 5: Solve for x
    x = 14,325,396,876.56/57,230.63
  6. Step 6: Final answer
    x = 250,309.98

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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.