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Finding the Third Proportional to 86,644 and 180,098

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Solution

The third proportional to 86,644 and 180,098 is: 374,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,644 : 180,098 = 180,098 : x
  2. Step 2: Convert to fraction form
    86,644/180,098 = 180,098/x
  3. Step 3: Cross multiply
    86,644x = 180,098 × 180,098
  4. Step 4: Simplify right side
    86,644x = 32,435,289,604
  5. Step 5: Solve for x
    x = 32,435,289,604/86,644
  6. Step 6: Final answer
    x = 374,351.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.