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Finding the Third Proportional to 87,682.50 and 187,029

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Solution

The third proportional to 87,682.50 and 187,029 is: 398,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,682.50 : 187,029 = 187,029 : x
  2. Step 2: Convert to fraction form
    87,682.50/187,029 = 187,029/x
  3. Step 3: Cross multiply
    87,682.50x = 187,029 × 187,029
  4. Step 4: Simplify right side
    87,682.50x = 34,979,846,841
  5. Step 5: Solve for x
    x = 34,979,846,841/87,682.50
  6. Step 6: Final answer
    x = 398,937.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.