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Finding the Third Proportional to 41,266 and 86,582

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Solution

The third proportional to 41,266 and 86,582 is: 181,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,266 : 86,582 = 86,582 : x
  2. Step 2: Convert to fraction form
    41,266/86,582 = 86,582/x
  3. Step 3: Cross multiply
    41,266x = 86,582 × 86,582
  4. Step 4: Simplify right side
    41,266x = 7,496,442,724
  5. Step 5: Solve for x
    x = 7,496,442,724/41,266
  6. Step 6: Final answer
    x = 181,661.48

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