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Finding the Third Proportional to 61,314 and 113,876

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Solution

The third proportional to 61,314 and 113,876 is: 211,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,314 : 113,876 = 113,876 : x
  2. Step 2: Convert to fraction form
    61,314/113,876 = 113,876/x
  3. Step 3: Cross multiply
    61,314x = 113,876 × 113,876
  4. Step 4: Simplify right side
    61,314x = 12,967,743,376
  5. Step 5: Solve for x
    x = 12,967,743,376/61,314
  6. Step 6: Final answer
    x = 211,497.27

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.