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Finding the Third Proportional to 41,080 and 86,305

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Solution

The third proportional to 41,080 and 86,305 is: 181,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,080 : 86,305 = 86,305 : x
  2. Step 2: Convert to fraction form
    41,080/86,305 = 86,305/x
  3. Step 3: Cross multiply
    41,080x = 86,305 × 86,305
  4. Step 4: Simplify right side
    41,080x = 7,448,553,025
  5. Step 5: Solve for x
    x = 7,448,553,025/41,080
  6. Step 6: Final answer
    x = 181,318.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.