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Finding the Third Proportional to 87,842 and 136,219

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Solution

The third proportional to 87,842 and 136,219 is: 211,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,842 : 136,219 = 136,219 : x
  2. Step 2: Convert to fraction form
    87,842/136,219 = 136,219/x
  3. Step 3: Cross multiply
    87,842x = 136,219 × 136,219
  4. Step 4: Simplify right side
    87,842x = 18,555,615,961
  5. Step 5: Solve for x
    x = 18,555,615,961/87,842
  6. Step 6: Final answer
    x = 211,238.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.