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Finding the Third Proportional to 77,997 and 119,812

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Solution

The third proportional to 77,997 and 119,812 is: 184,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,997 : 119,812 = 119,812 : x
  2. Step 2: Convert to fraction form
    77,997/119,812 = 119,812/x
  3. Step 3: Cross multiply
    77,997x = 119,812 × 119,812
  4. Step 4: Simplify right side
    77,997x = 14,354,915,344
  5. Step 5: Solve for x
    x = 14,354,915,344/77,997
  6. Step 6: Final answer
    x = 184,044.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.