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Finding the Third Proportional to 87,020.75 and 190,019.50

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Solution

The third proportional to 87,020.75 and 190,019.50 is: 414,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,020.75 : 190,019.50 = 190,019.50 : x
  2. Step 2: Convert to fraction form
    87,020.75/190,019.50 = 190,019.50/x
  3. Step 3: Cross multiply
    87,020.75x = 190,019.50 × 190,019.50
  4. Step 4: Simplify right side
    87,020.75x = 36,107,410,380.25
  5. Step 5: Solve for x
    x = 36,107,410,380.25/87,020.75
  6. Step 6: Final answer
    x = 414,928.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.