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Finding the Third Proportional to 86,124 and 184,704

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Solution

The third proportional to 86,124 and 184,704 is: 396,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,124 : 184,704 = 184,704 : x
  2. Step 2: Convert to fraction form
    86,124/184,704 = 184,704/x
  3. Step 3: Cross multiply
    86,124x = 184,704 × 184,704
  4. Step 4: Simplify right side
    86,124x = 34,115,567,616
  5. Step 5: Solve for x
    x = 34,115,567,616/86,124
  6. Step 6: Final answer
    x = 396,121.49

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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.