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Finding the Third Proportional to 40,061 and 86,008

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Solution

The third proportional to 40,061 and 86,008 is: 184,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,061 : 86,008 = 86,008 : x
  2. Step 2: Convert to fraction form
    40,061/86,008 = 86,008/x
  3. Step 3: Cross multiply
    40,061x = 86,008 × 86,008
  4. Step 4: Simplify right side
    40,061x = 7,397,376,064
  5. Step 5: Solve for x
    x = 7,397,376,064/40,061
  6. Step 6: Final answer
    x = 184,652.81

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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.