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Finding the Third Proportional to 76,311 and 112,183

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Solution

The third proportional to 76,311 and 112,183 is: 164,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,311 : 112,183 = 112,183 : x
  2. Step 2: Convert to fraction form
    76,311/112,183 = 112,183/x
  3. Step 3: Cross multiply
    76,311x = 112,183 × 112,183
  4. Step 4: Simplify right side
    76,311x = 12,585,025,489
  5. Step 5: Solve for x
    x = 12,585,025,489/76,311
  6. Step 6: Final answer
    x = 164,917.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.