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Finding the Third Proportional to 76,183 and 164,074

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Solution

The third proportional to 76,183 and 164,074 is: 353,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,183 : 164,074 = 164,074 : x
  2. Step 2: Convert to fraction form
    76,183/164,074 = 164,074/x
  3. Step 3: Cross multiply
    76,183x = 164,074 × 164,074
  4. Step 4: Simplify right side
    76,183x = 26,920,277,476
  5. Step 5: Solve for x
    x = 26,920,277,476/76,183
  6. Step 6: Final answer
    x = 353,363.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.