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Finding the Third Proportional to 47,122 and 100,781

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Solution

The third proportional to 47,122 and 100,781 is: 215,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,122 : 100,781 = 100,781 : x
  2. Step 2: Convert to fraction form
    47,122/100,781 = 100,781/x
  3. Step 3: Cross multiply
    47,122x = 100,781 × 100,781
  4. Step 4: Simplify right side
    47,122x = 10,156,809,961
  5. Step 5: Solve for x
    x = 10,156,809,961/47,122
  6. Step 6: Final answer
    x = 215,542.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.