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Finding the Third Proportional to 50,214.38 and 68,855.06

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Solution

The third proportional to 50,214.38 and 68,855.06 is: 94,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214.38 : 68,855.06 = 68,855.06 : x
  2. Step 2: Convert to fraction form
    50,214.38/68,855.06 = 68,855.06/x
  3. Step 3: Cross multiply
    50,214.38x = 68,855.06 × 68,855.06
  4. Step 4: Simplify right side
    50,214.38x = 4,741,019,631.88
  5. Step 5: Solve for x
    x = 4,741,019,631.88/50,214.38
  6. Step 6: Final answer
    x = 94,415.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.