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Finding the Third Proportional to 87,622.50 and 190,626

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Solution

The third proportional to 87,622.50 and 190,626 is: 414,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,622.50 : 190,626 = 190,626 : x
  2. Step 2: Convert to fraction form
    87,622.50/190,626 = 190,626/x
  3. Step 3: Cross multiply
    87,622.50x = 190,626 × 190,626
  4. Step 4: Simplify right side
    87,622.50x = 36,338,271,876
  5. Step 5: Solve for x
    x = 36,338,271,876/87,622.50
  6. Step 6: Final answer
    x = 414,713.94

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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.