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Finding the Third Proportional to 73,882 and 156,994

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Solution

The third proportional to 73,882 and 156,994 is: 333,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882 : 156,994 = 156,994 : x
  2. Step 2: Convert to fraction form
    73,882/156,994 = 156,994/x
  3. Step 3: Cross multiply
    73,882x = 156,994 × 156,994
  4. Step 4: Simplify right side
    73,882x = 24,647,116,036
  5. Step 5: Solve for x
    x = 24,647,116,036/73,882
  6. Step 6: Final answer
    x = 333,601.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.