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Finding the Third Proportional to 87,783.50 and 186,025

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Solution

The third proportional to 87,783.50 and 186,025 is: 394,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,783.50 : 186,025 = 186,025 : x
  2. Step 2: Convert to fraction form
    87,783.50/186,025 = 186,025/x
  3. Step 3: Cross multiply
    87,783.50x = 186,025 × 186,025
  4. Step 4: Simplify right side
    87,783.50x = 34,605,300,625
  5. Step 5: Solve for x
    x = 34,605,300,625/87,783.50
  6. Step 6: Final answer
    x = 394,211.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.