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Finding the Third Proportional to 76,326 and 167,108

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Solution

The third proportional to 76,326 and 167,108 is: 365,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,326 : 167,108 = 167,108 : x
  2. Step 2: Convert to fraction form
    76,326/167,108 = 167,108/x
  3. Step 3: Cross multiply
    76,326x = 167,108 × 167,108
  4. Step 4: Simplify right side
    76,326x = 27,925,083,664
  5. Step 5: Solve for x
    x = 27,925,083,664/76,326
  6. Step 6: Final answer
    x = 365,865.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.