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Finding the Third Proportional to 39,917 and 85,855

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Solution

The third proportional to 39,917 and 85,855 is: 184,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,917 : 85,855 = 85,855 : x
  2. Step 2: Convert to fraction form
    39,917/85,855 = 85,855/x
  3. Step 3: Cross multiply
    39,917x = 85,855 × 85,855
  4. Step 4: Simplify right side
    39,917x = 7,371,081,025
  5. Step 5: Solve for x
    x = 7,371,081,025/39,917
  6. Step 6: Final answer
    x = 184,660.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.