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Finding the Third Proportional to 87,898.50 and 182,025

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Solution

The third proportional to 87,898.50 and 182,025 is: 376,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,898.50 : 182,025 = 182,025 : x
  2. Step 2: Convert to fraction form
    87,898.50/182,025 = 182,025/x
  3. Step 3: Cross multiply
    87,898.50x = 182,025 × 182,025
  4. Step 4: Simplify right side
    87,898.50x = 33,133,100,625
  5. Step 5: Solve for x
    x = 33,133,100,625/87,898.50
  6. Step 6: Final answer
    x = 376,947.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.