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Finding the Third Proportional to 57,694.50 and 125,230.50

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Solution

The third proportional to 57,694.50 and 125,230.50 is: 271,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,694.50 : 125,230.50 = 125,230.50 : x
  2. Step 2: Convert to fraction form
    57,694.50/125,230.50 = 125,230.50/x
  3. Step 3: Cross multiply
    57,694.50x = 125,230.50 × 125,230.50
  4. Step 4: Simplify right side
    57,694.50x = 15,682,678,130.25
  5. Step 5: Solve for x
    x = 15,682,678,130.25/57,694.50
  6. Step 6: Final answer
    x = 271,822.76

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Why These Related Problems?

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