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Finding the Third Proportional to 50,055 and 67,566

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Solution

The third proportional to 50,055 and 67,566 is: 91,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,055 : 67,566 = 67,566 : x
  2. Step 2: Convert to fraction form
    50,055/67,566 = 67,566/x
  3. Step 3: Cross multiply
    50,055x = 67,566 × 67,566
  4. Step 4: Simplify right side
    50,055x = 4,565,164,356
  5. Step 5: Solve for x
    x = 4,565,164,356/50,055
  6. Step 6: Final answer
    x = 91,202.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.