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Finding the Third Proportional to 117,061 and 251,876

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Solution

The third proportional to 117,061 and 251,876 is: 541,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,061 : 251,876 = 251,876 : x
  2. Step 2: Convert to fraction form
    117,061/251,876 = 251,876/x
  3. Step 3: Cross multiply
    117,061x = 251,876 × 251,876
  4. Step 4: Simplify right side
    117,061x = 63,441,519,376
  5. Step 5: Solve for x
    x = 63,441,519,376/117,061
  6. Step 6: Final answer
    x = 541,952.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.