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Finding the Third Proportional to 86,119 and 184,696

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Solution

The third proportional to 86,119 and 184,696 is: 396,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,119 : 184,696 = 184,696 : x
  2. Step 2: Convert to fraction form
    86,119/184,696 = 184,696/x
  3. Step 3: Cross multiply
    86,119x = 184,696 × 184,696
  4. Step 4: Simplify right side
    86,119x = 34,112,612,416
  5. Step 5: Solve for x
    x = 34,112,612,416/86,119
  6. Step 6: Final answer
    x = 396,110.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.