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Finding the Third Proportional to 63,745 and 140,073

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Solution

The third proportional to 63,745 and 140,073 is: 307,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,745 : 140,073 = 140,073 : x
  2. Step 2: Convert to fraction form
    63,745/140,073 = 140,073/x
  3. Step 3: Cross multiply
    63,745x = 140,073 × 140,073
  4. Step 4: Simplify right side
    63,745x = 19,620,445,329
  5. Step 5: Solve for x
    x = 19,620,445,329/63,745
  6. Step 6: Final answer
    x = 307,795.83

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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.