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Finding the Third Proportional to 50,302.38 and 106,601.75

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Solution

The third proportional to 50,302.38 and 106,601.75 is: 225,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,302.38 : 106,601.75 = 106,601.75 : x
  2. Step 2: Convert to fraction form
    50,302.38/106,601.75 = 106,601.75/x
  3. Step 3: Cross multiply
    50,302.38x = 106,601.75 × 106,601.75
  4. Step 4: Simplify right side
    50,302.38x = 11,363,933,103.06
  5. Step 5: Solve for x
    x = 11,363,933,103.06/50,302.38
  6. Step 6: Final answer
    x = 225,912.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.