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Finding the Third Proportional to 50,994 and 73,458

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Solution

The third proportional to 50,994 and 73,458 is: 105,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,994 : 73,458 = 73,458 : x
  2. Step 2: Convert to fraction form
    50,994/73,458 = 73,458/x
  3. Step 3: Cross multiply
    50,994x = 73,458 × 73,458
  4. Step 4: Simplify right side
    50,994x = 5,396,077,764
  5. Step 5: Solve for x
    x = 5,396,077,764/50,994
  6. Step 6: Final answer
    x = 105,817.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.