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Finding the Third Proportional to 87,887 and 182,002

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Solution

The third proportional to 87,887 and 182,002 is: 376,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,887 : 182,002 = 182,002 : x
  2. Step 2: Convert to fraction form
    87,887/182,002 = 182,002/x
  3. Step 3: Cross multiply
    87,887x = 182,002 × 182,002
  4. Step 4: Simplify right side
    87,887x = 33,124,728,004
  5. Step 5: Solve for x
    x = 33,124,728,004/87,887
  6. Step 6: Final answer
    x = 376,901.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.