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Finding the Third Proportional to 41,848 and 88,004

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Solution

The third proportional to 41,848 and 88,004 is: 185,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,848 : 88,004 = 88,004 : x
  2. Step 2: Convert to fraction form
    41,848/88,004 = 88,004/x
  3. Step 3: Cross multiply
    41,848x = 88,004 × 88,004
  4. Step 4: Simplify right side
    41,848x = 7,744,704,016
  5. Step 5: Solve for x
    x = 7,744,704,016/41,848
  6. Step 6: Final answer
    x = 185,067.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.