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Finding the Third Proportional to 61,922 and 131,836

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Solution

The third proportional to 61,922 and 131,836 is: 280,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,922 : 131,836 = 131,836 : x
  2. Step 2: Convert to fraction form
    61,922/131,836 = 131,836/x
  3. Step 3: Cross multiply
    61,922x = 131,836 × 131,836
  4. Step 4: Simplify right side
    61,922x = 17,380,730,896
  5. Step 5: Solve for x
    x = 17,380,730,896/61,922
  6. Step 6: Final answer
    x = 280,687.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.