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Finding the Third Proportional to 63,027 and 132,939

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Solution

The third proportional to 63,027 and 132,939 is: 280,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,027 : 132,939 = 132,939 : x
  2. Step 2: Convert to fraction form
    63,027/132,939 = 132,939/x
  3. Step 3: Cross multiply
    63,027x = 132,939 × 132,939
  4. Step 4: Simplify right side
    63,027x = 17,672,777,721
  5. Step 5: Solve for x
    x = 17,672,777,721/63,027
  6. Step 6: Final answer
    x = 280,400.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.