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Finding the Third Proportional to 81,608 and 171,408

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Solution

The third proportional to 81,608 and 171,408 is: 360,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,608 : 171,408 = 171,408 : x
  2. Step 2: Convert to fraction form
    81,608/171,408 = 171,408/x
  3. Step 3: Cross multiply
    81,608x = 171,408 × 171,408
  4. Step 4: Simplify right side
    81,608x = 29,380,702,464
  5. Step 5: Solve for x
    x = 29,380,702,464/81,608
  6. Step 6: Final answer
    x = 360,022.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.