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Finding the Third Proportional to 63,878 and 98,049

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Solution

The third proportional to 63,878 and 98,049 is: 150,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,878 : 98,049 = 98,049 : x
  2. Step 2: Convert to fraction form
    63,878/98,049 = 98,049/x
  3. Step 3: Cross multiply
    63,878x = 98,049 × 98,049
  4. Step 4: Simplify right side
    63,878x = 9,613,606,401
  5. Step 5: Solve for x
    x = 9,613,606,401/63,878
  6. Step 6: Final answer
    x = 150,499.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.