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Finding the Third Proportional to 87,610 and 190,016

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Solution

The third proportional to 87,610 and 190,016 is: 412,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,610 : 190,016 = 190,016 : x
  2. Step 2: Convert to fraction form
    87,610/190,016 = 190,016/x
  3. Step 3: Cross multiply
    87,610x = 190,016 × 190,016
  4. Step 4: Simplify right side
    87,610x = 36,106,080,256
  5. Step 5: Solve for x
    x = 36,106,080,256/87,610
  6. Step 6: Final answer
    x = 412,122.82

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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.