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Finding the Third Proportional to 84,796 and 184,172

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Solution

The third proportional to 84,796 and 184,172 is: 400,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,796 : 184,172 = 184,172 : x
  2. Step 2: Convert to fraction form
    84,796/184,172 = 184,172/x
  3. Step 3: Cross multiply
    84,796x = 184,172 × 184,172
  4. Step 4: Simplify right side
    84,796x = 33,919,325,584
  5. Step 5: Solve for x
    x = 33,919,325,584/84,796
  6. Step 6: Final answer
    x = 400,010.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.