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Finding the Third Proportional to 85,904 and 131,077

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Solution

The third proportional to 85,904 and 131,077 is: 200,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,904 : 131,077 = 131,077 : x
  2. Step 2: Convert to fraction form
    85,904/131,077 = 131,077/x
  3. Step 3: Cross multiply
    85,904x = 131,077 × 131,077
  4. Step 4: Simplify right side
    85,904x = 17,181,179,929
  5. Step 5: Solve for x
    x = 17,181,179,929/85,904
  6. Step 6: Final answer
    x = 200,004.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.