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Finding the Third Proportional to 39,554 and 86,836

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Solution

The third proportional to 39,554 and 86,836 is: 190,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,554 : 86,836 = 86,836 : x
  2. Step 2: Convert to fraction form
    39,554/86,836 = 86,836/x
  3. Step 3: Cross multiply
    39,554x = 86,836 × 86,836
  4. Step 4: Simplify right side
    39,554x = 7,540,490,896
  5. Step 5: Solve for x
    x = 7,540,490,896/39,554
  6. Step 6: Final answer
    x = 190,637.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.