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Finding the Third Proportional to 63,489 and 138,266

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Solution

The third proportional to 63,489 and 138,266 is: 301,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,489 : 138,266 = 138,266 : x
  2. Step 2: Convert to fraction form
    63,489/138,266 = 138,266/x
  3. Step 3: Cross multiply
    63,489x = 138,266 × 138,266
  4. Step 4: Simplify right side
    63,489x = 19,117,486,756
  5. Step 5: Solve for x
    x = 19,117,486,756/63,489
  6. Step 6: Final answer
    x = 301,114.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.