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Finding the Third Proportional to 87,996 and 190,584

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Solution

The third proportional to 87,996 and 190,584 is: 412,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,996 : 190,584 = 190,584 : x
  2. Step 2: Convert to fraction form
    87,996/190,584 = 190,584/x
  3. Step 3: Cross multiply
    87,996x = 190,584 × 190,584
  4. Step 4: Simplify right side
    87,996x = 36,322,261,056
  5. Step 5: Solve for x
    x = 36,322,261,056/87,996
  6. Step 6: Final answer
    x = 412,771.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.