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Finding the Third Proportional to 70,792 and 107,094

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Solution

The third proportional to 70,792 and 107,094 is: 162,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,792 : 107,094 = 107,094 : x
  2. Step 2: Convert to fraction form
    70,792/107,094 = 107,094/x
  3. Step 3: Cross multiply
    70,792x = 107,094 × 107,094
  4. Step 4: Simplify right side
    70,792x = 11,469,124,836
  5. Step 5: Solve for x
    x = 11,469,124,836/70,792
  6. Step 6: Final answer
    x = 162,011.60

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Why These Related Problems?

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