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Finding the Third Proportional to 63,763 and 140,107

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Solution

The third proportional to 63,763 and 140,107 is: 307,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,763 : 140,107 = 140,107 : x
  2. Step 2: Convert to fraction form
    63,763/140,107 = 140,107/x
  3. Step 3: Cross multiply
    63,763x = 140,107 × 140,107
  4. Step 4: Simplify right side
    63,763x = 19,629,971,449
  5. Step 5: Solve for x
    x = 19,629,971,449/63,763
  6. Step 6: Final answer
    x = 307,858.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.