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Finding the Third Proportional to 65,997 and 155,631

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Solution

The third proportional to 65,997 and 155,631 is: 367,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,997 : 155,631 = 155,631 : x
  2. Step 2: Convert to fraction form
    65,997/155,631 = 155,631/x
  3. Step 3: Cross multiply
    65,997x = 155,631 × 155,631
  4. Step 4: Simplify right side
    65,997x = 24,221,008,161
  5. Step 5: Solve for x
    x = 24,221,008,161/65,997
  6. Step 6: Final answer
    x = 367,001.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.