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Finding the Third Proportional to 87,461 and 193,299

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Solution

The third proportional to 87,461 and 193,299 is: 427,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461 : 193,299 = 193,299 : x
  2. Step 2: Convert to fraction form
    87,461/193,299 = 193,299/x
  3. Step 3: Cross multiply
    87,461x = 193,299 × 193,299
  4. Step 4: Simplify right side
    87,461x = 37,364,503,401
  5. Step 5: Solve for x
    x = 37,364,503,401/87,461
  6. Step 6: Final answer
    x = 427,213.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.