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Finding the Third Proportional to 131,459 and 196,962

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Solution

The third proportional to 131,459 and 196,962 is: 295,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,459 : 196,962 = 196,962 : x
  2. Step 2: Convert to fraction form
    131,459/196,962 = 196,962/x
  3. Step 3: Cross multiply
    131,459x = 196,962 × 196,962
  4. Step 4: Simplify right side
    131,459x = 38,794,029,444
  5. Step 5: Solve for x
    x = 38,794,029,444/131,459
  6. Step 6: Final answer
    x = 295,103.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.