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Finding the Third Proportional to 61,920 and 131,832

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Solution

The third proportional to 61,920 and 131,832 is: 280,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,920 : 131,832 = 131,832 : x
  2. Step 2: Convert to fraction form
    61,920/131,832 = 131,832/x
  3. Step 3: Cross multiply
    61,920x = 131,832 × 131,832
  4. Step 4: Simplify right side
    61,920x = 17,379,676,224
  5. Step 5: Solve for x
    x = 17,379,676,224/61,920
  6. Step 6: Final answer
    x = 280,679.53

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Why These Related Problems?

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