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Finding the Third Proportional to 86,671 and 185,576

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Solution

The third proportional to 86,671 and 185,576 is: 397,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,671 : 185,576 = 185,576 : x
  2. Step 2: Convert to fraction form
    86,671/185,576 = 185,576/x
  3. Step 3: Cross multiply
    86,671x = 185,576 × 185,576
  4. Step 4: Simplify right side
    86,671x = 34,438,451,776
  5. Step 5: Solve for x
    x = 34,438,451,776/86,671
  6. Step 6: Final answer
    x = 397,346.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.