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Finding the Third Proportional to 50,656.50 and 86,919.75

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Solution

The third proportional to 50,656.50 and 86,919.75 is: 149,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,656.50 : 86,919.75 = 86,919.75 : x
  2. Step 2: Convert to fraction form
    50,656.50/86,919.75 = 86,919.75/x
  3. Step 3: Cross multiply
    50,656.50x = 86,919.75 × 86,919.75
  4. Step 4: Simplify right side
    50,656.50x = 7,555,042,940.06
  5. Step 5: Solve for x
    x = 7,555,042,940.06/50,656.50
  6. Step 6: Final answer
    x = 149,142.62

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.