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Finding the Third Proportional to 85,857 and 186,006

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Solution

The third proportional to 85,857 and 186,006 is: 402,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,857 : 186,006 = 186,006 : x
  2. Step 2: Convert to fraction form
    85,857/186,006 = 186,006/x
  3. Step 3: Cross multiply
    85,857x = 186,006 × 186,006
  4. Step 4: Simplify right side
    85,857x = 34,598,232,036
  5. Step 5: Solve for x
    x = 34,598,232,036/85,857
  6. Step 6: Final answer
    x = 402,975.09

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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.