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Finding the Third Proportional to 63,098 and 128,049

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Solution

The third proportional to 63,098 and 128,049 is: 259,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,098 : 128,049 = 128,049 : x
  2. Step 2: Convert to fraction form
    63,098/128,049 = 128,049/x
  3. Step 3: Cross multiply
    63,098x = 128,049 × 128,049
  4. Step 4: Simplify right side
    63,098x = 16,396,546,401
  5. Step 5: Solve for x
    x = 16,396,546,401/63,098
  6. Step 6: Final answer
    x = 259,858.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.