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Finding the Third Proportional to 106,929 and 168,183

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Solution

The third proportional to 106,929 and 168,183 is: 264,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,929 : 168,183 = 168,183 : x
  2. Step 2: Convert to fraction form
    106,929/168,183 = 168,183/x
  3. Step 3: Cross multiply
    106,929x = 168,183 × 168,183
  4. Step 4: Simplify right side
    106,929x = 28,285,521,489
  5. Step 5: Solve for x
    x = 28,285,521,489/106,929
  6. Step 6: Final answer
    x = 264,526.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.