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Finding the Third Proportional to 51,847 and 113,737

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Solution

The third proportional to 51,847 and 113,737 is: 249,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847 : 113,737 = 113,737 : x
  2. Step 2: Convert to fraction form
    51,847/113,737 = 113,737/x
  3. Step 3: Cross multiply
    51,847x = 113,737 × 113,737
  4. Step 4: Simplify right side
    51,847x = 12,936,105,169
  5. Step 5: Solve for x
    x = 12,936,105,169/51,847
  6. Step 6: Final answer
    x = 249,505.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.