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Finding the Third Proportional to 82,760.06 and 184,258.13

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Solution

The third proportional to 82,760.06 and 184,258.13 is: 410,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,760.06 : 184,258.13 = 184,258.13 : x
  2. Step 2: Convert to fraction form
    82,760.06/184,258.13 = 184,258.13/x
  3. Step 3: Cross multiply
    82,760.06x = 184,258.13 × 184,258.13
  4. Step 4: Simplify right side
    82,760.06x = 33,951,056,628.52
  5. Step 5: Solve for x
    x = 33,951,056,628.52/82,760.06
  6. Step 6: Final answer
    x = 410,234.79

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.