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Finding the Third Proportional to 77,106 and 168,183

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Solution

The third proportional to 77,106 and 168,183 is: 366,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,106 : 168,183 = 168,183 : x
  2. Step 2: Convert to fraction form
    77,106/168,183 = 168,183/x
  3. Step 3: Cross multiply
    77,106x = 168,183 × 168,183
  4. Step 4: Simplify right side
    77,106x = 28,285,521,489
  5. Step 5: Solve for x
    x = 28,285,521,489/77,106
  6. Step 6: Final answer
    x = 366,839.44

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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.