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Finding the Third Proportional to 85,861 and 186,493

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Solution

The third proportional to 85,861 and 186,493 is: 405,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,861 : 186,493 = 186,493 : x
  2. Step 2: Convert to fraction form
    85,861/186,493 = 186,493/x
  3. Step 3: Cross multiply
    85,861x = 186,493 × 186,493
  4. Step 4: Simplify right side
    85,861x = 34,779,639,049
  5. Step 5: Solve for x
    x = 34,779,639,049/85,861
  6. Step 6: Final answer
    x = 405,069.11

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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.