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Finding the Third Proportional to 55,161.75 and 119,069.25

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Solution

The third proportional to 55,161.75 and 119,069.25 is: 257,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,161.75 : 119,069.25 = 119,069.25 : x
  2. Step 2: Convert to fraction form
    55,161.75/119,069.25 = 119,069.25/x
  3. Step 3: Cross multiply
    55,161.75x = 119,069.25 × 119,069.25
  4. Step 4: Simplify right side
    55,161.75x = 14,177,486,295.56
  5. Step 5: Solve for x
    x = 14,177,486,295.56/55,161.75
  6. Step 6: Final answer
    x = 257,016.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.