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Finding the Third Proportional to 87,714 and 190,206

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Solution

The third proportional to 87,714 and 190,206 is: 412,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,714 : 190,206 = 190,206 : x
  2. Step 2: Convert to fraction form
    87,714/190,206 = 190,206/x
  3. Step 3: Cross multiply
    87,714x = 190,206 × 190,206
  4. Step 4: Simplify right side
    87,714x = 36,178,322,436
  5. Step 5: Solve for x
    x = 36,178,322,436/87,714
  6. Step 6: Final answer
    x = 412,457.79

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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.