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Finding the Third Proportional to 50,427 and 108,633.94

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Solution

The third proportional to 50,427 and 108,633.94 is: 234,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,427 : 108,633.94 = 108,633.94 : x
  2. Step 2: Convert to fraction form
    50,427/108,633.94 = 108,633.94/x
  3. Step 3: Cross multiply
    50,427x = 108,633.94 × 108,633.94
  4. Step 4: Simplify right side
    50,427x = 11,801,332,376.75
  5. Step 5: Solve for x
    x = 11,801,332,376.75/50,427
  6. Step 6: Final answer
    x = 234,028.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.