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Finding the Third Proportional to 87,963 and 191,714

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Solution

The third proportional to 87,963 and 191,714 is: 417,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,963 : 191,714 = 191,714 : x
  2. Step 2: Convert to fraction form
    87,963/191,714 = 191,714/x
  3. Step 3: Cross multiply
    87,963x = 191,714 × 191,714
  4. Step 4: Simplify right side
    87,963x = 36,754,257,796
  5. Step 5: Solve for x
    x = 36,754,257,796/87,963
  6. Step 6: Final answer
    x = 417,837.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.