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Finding the Third Proportional to 86,134 and 184,721

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Solution

The third proportional to 86,134 and 184,721 is: 396,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,134 : 184,721 = 184,721 : x
  2. Step 2: Convert to fraction form
    86,134/184,721 = 184,721/x
  3. Step 3: Cross multiply
    86,134x = 184,721 × 184,721
  4. Step 4: Simplify right side
    86,134x = 34,121,847,841
  5. Step 5: Solve for x
    x = 34,121,847,841/86,134
  6. Step 6: Final answer
    x = 396,148.42

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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.