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Finding the Third Proportional to 69,192 and 108,108

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Solution

The third proportional to 69,192 and 108,108 is: 168,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,192 : 108,108 = 108,108 : x
  2. Step 2: Convert to fraction form
    69,192/108,108 = 108,108/x
  3. Step 3: Cross multiply
    69,192x = 108,108 × 108,108
  4. Step 4: Simplify right side
    69,192x = 11,687,339,664
  5. Step 5: Solve for x
    x = 11,687,339,664/69,192
  6. Step 6: Final answer
    x = 168,911.72

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.