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Finding the Third Proportional to 85,863.25 and 186,511.75

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Solution

The third proportional to 85,863.25 and 186,511.75 is: 405,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,863.25 : 186,511.75 = 186,511.75 : x
  2. Step 2: Convert to fraction form
    85,863.25/186,511.75 = 186,511.75/x
  3. Step 3: Cross multiply
    85,863.25x = 186,511.75 × 186,511.75
  4. Step 4: Simplify right side
    85,863.25x = 34,786,632,888.06
  5. Step 5: Solve for x
    x = 34,786,632,888.06/85,863.25
  6. Step 6: Final answer
    x = 405,139.95

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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.