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Finding the Third Proportional to 86,504 and 184,164

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Solution

The third proportional to 86,504 and 184,164 is: 392,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,504 : 184,164 = 184,164 : x
  2. Step 2: Convert to fraction form
    86,504/184,164 = 184,164/x
  3. Step 3: Cross multiply
    86,504x = 184,164 × 184,164
  4. Step 4: Simplify right side
    86,504x = 33,916,378,896
  5. Step 5: Solve for x
    x = 33,916,378,896/86,504
  6. Step 6: Final answer
    x = 392,078.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.