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Finding the Third Proportional to 107,967 and 168,031

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Solution

The third proportional to 107,967 and 168,031 is: 261,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967 : 168,031 = 168,031 : x
  2. Step 2: Convert to fraction form
    107,967/168,031 = 168,031/x
  3. Step 3: Cross multiply
    107,967x = 168,031 × 168,031
  4. Step 4: Simplify right side
    107,967x = 28,234,416,961
  5. Step 5: Solve for x
    x = 28,234,416,961/107,967
  6. Step 6: Final answer
    x = 261,509.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.