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Finding the Third Proportional to 47,917 and 105,250

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Solution

The third proportional to 47,917 and 105,250 is: 231,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,917 : 105,250 = 105,250 : x
  2. Step 2: Convert to fraction form
    47,917/105,250 = 105,250/x
  3. Step 3: Cross multiply
    47,917x = 105,250 × 105,250
  4. Step 4: Simplify right side
    47,917x = 11,077,562,500
  5. Step 5: Solve for x
    x = 11,077,562,500/47,917
  6. Step 6: Final answer
    x = 231,182.30

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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.