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Finding the Third Proportional to 63,669 and 140,049

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Solution

The third proportional to 63,669 and 140,049 is: 308,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,669 : 140,049 = 140,049 : x
  2. Step 2: Convert to fraction form
    63,669/140,049 = 140,049/x
  3. Step 3: Cross multiply
    63,669x = 140,049 × 140,049
  4. Step 4: Simplify right side
    63,669x = 19,613,722,401
  5. Step 5: Solve for x
    x = 19,613,722,401/63,669
  6. Step 6: Final answer
    x = 308,057.65

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