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Finding the Third Proportional to 86,714 and 187,252

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Solution

The third proportional to 86,714 and 187,252 is: 404,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,714 : 187,252 = 187,252 : x
  2. Step 2: Convert to fraction form
    86,714/187,252 = 187,252/x
  3. Step 3: Cross multiply
    86,714x = 187,252 × 187,252
  4. Step 4: Simplify right side
    86,714x = 35,063,311,504
  5. Step 5: Solve for x
    x = 35,063,311,504/86,714
  6. Step 6: Final answer
    x = 404,355.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.