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Finding the Third Proportional to 88,171 and 195,962

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Solution

The third proportional to 88,171 and 195,962 is: 435,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,171 : 195,962 = 195,962 : x
  2. Step 2: Convert to fraction form
    88,171/195,962 = 195,962/x
  3. Step 3: Cross multiply
    88,171x = 195,962 × 195,962
  4. Step 4: Simplify right side
    88,171x = 38,401,105,444
  5. Step 5: Solve for x
    x = 38,401,105,444/88,171
  6. Step 6: Final answer
    x = 435,529.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.