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Finding the Third Proportional to 87,487.50 and 193,443

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Solution

The third proportional to 87,487.50 and 193,443 is: 427,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,487.50 : 193,443 = 193,443 : x
  2. Step 2: Convert to fraction form
    87,487.50/193,443 = 193,443/x
  3. Step 3: Cross multiply
    87,487.50x = 193,443 × 193,443
  4. Step 4: Simplify right side
    87,487.50x = 37,420,194,249
  5. Step 5: Solve for x
    x = 37,420,194,249/87,487.50
  6. Step 6: Final answer
    x = 427,720.47

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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.