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Finding the Third Proportional to 86,132 and 184,717

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Solution

The third proportional to 86,132 and 184,717 is: 396,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,132 : 184,717 = 184,717 : x
  2. Step 2: Convert to fraction form
    86,132/184,717 = 184,717/x
  3. Step 3: Cross multiply
    86,132x = 184,717 × 184,717
  4. Step 4: Simplify right side
    86,132x = 34,120,370,089
  5. Step 5: Solve for x
    x = 34,120,370,089/86,132
  6. Step 6: Final answer
    x = 396,140.46

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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.