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Finding the Third Proportional to 47,961 and 105,438

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Solution

The third proportional to 47,961 and 105,438 is: 231,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,961 : 105,438 = 105,438 : x
  2. Step 2: Convert to fraction form
    47,961/105,438 = 105,438/x
  3. Step 3: Cross multiply
    47,961x = 105,438 × 105,438
  4. Step 4: Simplify right side
    47,961x = 11,117,171,844
  5. Step 5: Solve for x
    x = 11,117,171,844/47,961
  6. Step 6: Final answer
    x = 231,796.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.