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Finding the Third Proportional to 47,893.50 and 104,166

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Solution

The third proportional to 47,893.50 and 104,166 is: 226,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,893.50 : 104,166 = 104,166 : x
  2. Step 2: Convert to fraction form
    47,893.50/104,166 = 104,166/x
  3. Step 3: Cross multiply
    47,893.50x = 104,166 × 104,166
  4. Step 4: Simplify right side
    47,893.50x = 10,850,555,556
  5. Step 5: Solve for x
    x = 10,850,555,556/47,893.50
  6. Step 6: Final answer
    x = 226,555.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.