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Finding the Third Proportional to 50,194 and 73,906

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Solution

The third proportional to 50,194 and 73,906 is: 108,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,194 : 73,906 = 73,906 : x
  2. Step 2: Convert to fraction form
    50,194/73,906 = 73,906/x
  3. Step 3: Cross multiply
    50,194x = 73,906 × 73,906
  4. Step 4: Simplify right side
    50,194x = 5,462,096,836
  5. Step 5: Solve for x
    x = 5,462,096,836/50,194
  6. Step 6: Final answer
    x = 108,819.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.