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Finding the Third Proportional to 47,918 and 111,921

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Solution

The third proportional to 47,918 and 111,921 is: 261,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,918 : 111,921 = 111,921 : x
  2. Step 2: Convert to fraction form
    47,918/111,921 = 111,921/x
  3. Step 3: Cross multiply
    47,918x = 111,921 × 111,921
  4. Step 4: Simplify right side
    47,918x = 12,526,310,241
  5. Step 5: Solve for x
    x = 12,526,310,241/47,918
  6. Step 6: Final answer
    x = 261,411.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.