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Finding the Third Proportional to 87,952.50 and 193,401

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Solution

The third proportional to 87,952.50 and 193,401 is: 425,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,952.50 : 193,401 = 193,401 : x
  2. Step 2: Convert to fraction form
    87,952.50/193,401 = 193,401/x
  3. Step 3: Cross multiply
    87,952.50x = 193,401 × 193,401
  4. Step 4: Simplify right side
    87,952.50x = 37,403,946,801
  5. Step 5: Solve for x
    x = 37,403,946,801/87,952.50
  6. Step 6: Final answer
    x = 425,274.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.