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Finding the Third Proportional to 63,837 and 95,593

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Solution

The third proportional to 63,837 and 95,593 is: 143,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,837 : 95,593 = 95,593 : x
  2. Step 2: Convert to fraction form
    63,837/95,593 = 95,593/x
  3. Step 3: Cross multiply
    63,837x = 95,593 × 95,593
  4. Step 4: Simplify right side
    63,837x = 9,138,021,649
  5. Step 5: Solve for x
    x = 9,138,021,649/63,837
  6. Step 6: Final answer
    x = 143,146.16

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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.