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Finding the Third Proportional to 41,641 and 86,684

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Solution

The third proportional to 41,641 and 86,684 is: 180,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,641 : 86,684 = 86,684 : x
  2. Step 2: Convert to fraction form
    41,641/86,684 = 86,684/x
  3. Step 3: Cross multiply
    41,641x = 86,684 × 86,684
  4. Step 4: Simplify right side
    41,641x = 7,514,115,856
  5. Step 5: Solve for x
    x = 7,514,115,856/41,641
  6. Step 6: Final answer
    x = 180,449.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.