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Finding the Third Proportional to 50,074 and 108,706

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Solution

The third proportional to 50,074 and 108,706 is: 235,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,074 : 108,706 = 108,706 : x
  2. Step 2: Convert to fraction form
    50,074/108,706 = 108,706/x
  3. Step 3: Cross multiply
    50,074x = 108,706 × 108,706
  4. Step 4: Simplify right side
    50,074x = 11,816,994,436
  5. Step 5: Solve for x
    x = 11,816,994,436/50,074
  6. Step 6: Final answer
    x = 235,990.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.