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Finding the Third Proportional to 87,125 and 189,003

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Solution

The third proportional to 87,125 and 189,003 is: 410,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,125 : 189,003 = 189,003 : x
  2. Step 2: Convert to fraction form
    87,125/189,003 = 189,003/x
  3. Step 3: Cross multiply
    87,125x = 189,003 × 189,003
  4. Step 4: Simplify right side
    87,125x = 35,722,134,009
  5. Step 5: Solve for x
    x = 35,722,134,009/87,125
  6. Step 6: Final answer
    x = 410,010.15

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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.