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Finding the Third Proportional to 76,554 and 164,183

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Solution

The third proportional to 76,554 and 164,183 is: 352,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,554 : 164,183 = 164,183 : x
  2. Step 2: Convert to fraction form
    76,554/164,183 = 164,183/x
  3. Step 3: Cross multiply
    76,554x = 164,183 × 164,183
  4. Step 4: Simplify right side
    76,554x = 26,956,057,489
  5. Step 5: Solve for x
    x = 26,956,057,489/76,554
  6. Step 6: Final answer
    x = 352,118.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.