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Finding the Third Proportional to 87,513.50 and 178,723

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Solution

The third proportional to 87,513.50 and 178,723 is: 364,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,513.50 : 178,723 = 178,723 : x
  2. Step 2: Convert to fraction form
    87,513.50/178,723 = 178,723/x
  3. Step 3: Cross multiply
    87,513.50x = 178,723 × 178,723
  4. Step 4: Simplify right side
    87,513.50x = 31,941,910,729
  5. Step 5: Solve for x
    x = 31,941,910,729/87,513.50
  6. Step 6: Final answer
    x = 364,994.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.