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Finding the Third Proportional to 87,124 and 190,847

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Solution

The third proportional to 87,124 and 190,847 is: 418,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,124 : 190,847 = 190,847 : x
  2. Step 2: Convert to fraction form
    87,124/190,847 = 190,847/x
  3. Step 3: Cross multiply
    87,124x = 190,847 × 190,847
  4. Step 4: Simplify right side
    87,124x = 36,422,577,409
  5. Step 5: Solve for x
    x = 36,422,577,409/87,124
  6. Step 6: Final answer
    x = 418,054.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.