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Finding the Third Proportional to 63,794 and 131,719

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Solution

The third proportional to 63,794 and 131,719 is: 271,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,794 : 131,719 = 131,719 : x
  2. Step 2: Convert to fraction form
    63,794/131,719 = 131,719/x
  3. Step 3: Cross multiply
    63,794x = 131,719 × 131,719
  4. Step 4: Simplify right side
    63,794x = 17,349,894,961
  5. Step 5: Solve for x
    x = 17,349,894,961/63,794
  6. Step 6: Final answer
    x = 271,967.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.