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Finding the Third Proportional to 41,268 and 86,586

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Solution

The third proportional to 41,268 and 86,586 is: 181,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,268 : 86,586 = 86,586 : x
  2. Step 2: Convert to fraction form
    41,268/86,586 = 86,586/x
  3. Step 3: Cross multiply
    41,268x = 86,586 × 86,586
  4. Step 4: Simplify right side
    41,268x = 7,497,135,396
  5. Step 5: Solve for x
    x = 7,497,135,396/41,268
  6. Step 6: Final answer
    x = 181,669.46

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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.