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Finding the Third Proportional to 86,118.75 and 184,694.25

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Solution

The third proportional to 86,118.75 and 184,694.25 is: 396,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,118.75 : 184,694.25 = 184,694.25 : x
  2. Step 2: Convert to fraction form
    86,118.75/184,694.25 = 184,694.25/x
  3. Step 3: Cross multiply
    86,118.75x = 184,694.25 × 184,694.25
  4. Step 4: Simplify right side
    86,118.75x = 34,111,965,983.06
  5. Step 5: Solve for x
    x = 34,111,965,983.06/86,118.75
  6. Step 6: Final answer
    x = 396,103.82

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Why These Related Problems?

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