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Finding the Third Proportional to 70,792 and 107,096

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Solution

The third proportional to 70,792 and 107,096 is: 162,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,792 : 107,096 = 107,096 : x
  2. Step 2: Convert to fraction form
    70,792/107,096 = 107,096/x
  3. Step 3: Cross multiply
    70,792x = 107,096 × 107,096
  4. Step 4: Simplify right side
    70,792x = 11,469,553,216
  5. Step 5: Solve for x
    x = 11,469,553,216/70,792
  6. Step 6: Final answer
    x = 162,017.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.