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Finding the Third Proportional to 41,737 and 86,383

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Solution

The third proportional to 41,737 and 86,383 is: 178,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,737 : 86,383 = 86,383 : x
  2. Step 2: Convert to fraction form
    41,737/86,383 = 86,383/x
  3. Step 3: Cross multiply
    41,737x = 86,383 × 86,383
  4. Step 4: Simplify right side
    41,737x = 7,462,022,689
  5. Step 5: Solve for x
    x = 7,462,022,689/41,737
  6. Step 6: Final answer
    x = 178,786.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.