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Finding the Third Proportional to 57,044.25 and 106,950.38

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Solution

The third proportional to 57,044.25 and 106,950.38 is: 200,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,044.25 : 106,950.38 = 106,950.38 : x
  2. Step 2: Convert to fraction form
    57,044.25/106,950.38 = 106,950.38/x
  3. Step 3: Cross multiply
    57,044.25x = 106,950.38 × 106,950.38
  4. Step 4: Simplify right side
    57,044.25x = 11,438,382,712.64
  5. Step 5: Solve for x
    x = 11,438,382,712.64/57,044.25
  6. Step 6: Final answer
    x = 200,517.72

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.