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Finding the Third Proportional to 87,619 and 127,593

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Solution

The third proportional to 87,619 and 127,593 is: 185,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,619 : 127,593 = 127,593 : x
  2. Step 2: Convert to fraction form
    87,619/127,593 = 127,593/x
  3. Step 3: Cross multiply
    87,619x = 127,593 × 127,593
  4. Step 4: Simplify right side
    87,619x = 16,279,973,649
  5. Step 5: Solve for x
    x = 16,279,973,649/87,619
  6. Step 6: Final answer
    x = 185,804.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.