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Finding the Third Proportional to 63,751 and 95,657

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Solution

The third proportional to 63,751 and 95,657 is: 143,531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,751 : 95,657 = 95,657 : x
  2. Step 2: Convert to fraction form
    63,751/95,657 = 95,657/x
  3. Step 3: Cross multiply
    63,751x = 95,657 × 95,657
  4. Step 4: Simplify right side
    63,751x = 9,150,261,649
  5. Step 5: Solve for x
    x = 9,150,261,649/63,751
  6. Step 6: Final answer
    x = 143,531.26

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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.