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Finding the Third Proportional to 87,760 and 190,104

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Solution

The third proportional to 87,760 and 190,104 is: 411,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,760 : 190,104 = 190,104 : x
  2. Step 2: Convert to fraction form
    87,760/190,104 = 190,104/x
  3. Step 3: Cross multiply
    87,760x = 190,104 × 190,104
  4. Step 4: Simplify right side
    87,760x = 36,139,530,816
  5. Step 5: Solve for x
    x = 36,139,530,816/87,760
  6. Step 6: Final answer
    x = 411,799.58

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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.