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Finding the Third Proportional to 86,532 and 184,546

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Solution

The third proportional to 86,532 and 184,546 is: 393,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,532 : 184,546 = 184,546 : x
  2. Step 2: Convert to fraction form
    86,532/184,546 = 184,546/x
  3. Step 3: Cross multiply
    86,532x = 184,546 × 184,546
  4. Step 4: Simplify right side
    86,532x = 34,057,226,116
  5. Step 5: Solve for x
    x = 34,057,226,116/86,532
  6. Step 6: Final answer
    x = 393,579.56

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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.