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Finding the Third Proportional to 51,849 and 113,077.13

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Solution

The third proportional to 51,849 and 113,077.13 is: 246,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,849 : 113,077.13 = 113,077.13 : x
  2. Step 2: Convert to fraction form
    51,849/113,077.13 = 113,077.13/x
  3. Step 3: Cross multiply
    51,849x = 113,077.13 × 113,077.13
  4. Step 4: Simplify right side
    51,849x = 12,786,436,198.27
  5. Step 5: Solve for x
    x = 12,786,436,198.27/51,849
  6. Step 6: Final answer
    x = 246,609.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.