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Finding the Third Proportional to 63,061 and 131,962

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Solution

The third proportional to 63,061 and 131,962 is: 276,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,061 : 131,962 = 131,962 : x
  2. Step 2: Convert to fraction form
    63,061/131,962 = 131,962/x
  3. Step 3: Cross multiply
    63,061x = 131,962 × 131,962
  4. Step 4: Simplify right side
    63,061x = 17,413,969,444
  5. Step 5: Solve for x
    x = 17,413,969,444/63,061
  6. Step 6: Final answer
    x = 276,144.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.