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Finding the Third Proportional to 87,504 and 187,401

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Solution

The third proportional to 87,504 and 187,401 is: 401,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,504 : 187,401 = 187,401 : x
  2. Step 2: Convert to fraction form
    87,504/187,401 = 187,401/x
  3. Step 3: Cross multiply
    87,504x = 187,401 × 187,401
  4. Step 4: Simplify right side
    87,504x = 35,119,134,801
  5. Step 5: Solve for x
    x = 35,119,134,801/87,504
  6. Step 6: Final answer
    x = 401,343.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.