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Finding the Third Proportional to 40,058 and 86,002

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Solution

The third proportional to 40,058 and 86,002 is: 184,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,058 : 86,002 = 86,002 : x
  2. Step 2: Convert to fraction form
    40,058/86,002 = 86,002/x
  3. Step 3: Cross multiply
    40,058x = 86,002 × 86,002
  4. Step 4: Simplify right side
    40,058x = 7,396,344,004
  5. Step 5: Solve for x
    x = 7,396,344,004/40,058
  6. Step 6: Final answer
    x = 184,640.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.