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Finding the Third Proportional to 50,409 and 74,464.31

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Solution

The third proportional to 50,409 and 74,464.31 is: 109,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409 : 74,464.31 = 74,464.31 : x
  2. Step 2: Convert to fraction form
    50,409/74,464.31 = 74,464.31/x
  3. Step 3: Cross multiply
    50,409x = 74,464.31 × 74,464.31
  4. Step 4: Simplify right side
    50,409x = 5,544,933,836.10
  5. Step 5: Solve for x
    x = 5,544,933,836.10/50,409
  6. Step 6: Final answer
    x = 109,998.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.