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Finding the Third Proportional to 94,537.50 and 199,401

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Solution

The third proportional to 94,537.50 and 199,401 is: 420,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,537.50 : 199,401 = 199,401 : x
  2. Step 2: Convert to fraction form
    94,537.50/199,401 = 199,401/x
  3. Step 3: Cross multiply
    94,537.50x = 199,401 × 199,401
  4. Step 4: Simplify right side
    94,537.50x = 39,760,758,801
  5. Step 5: Solve for x
    x = 39,760,758,801/94,537.50
  6. Step 6: Final answer
    x = 420,581.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.