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Finding the Third Proportional to 68,912 and 151,792

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Solution

The third proportional to 68,912 and 151,792 is: 334,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,912 : 151,792 = 151,792 : x
  2. Step 2: Convert to fraction form
    68,912/151,792 = 151,792/x
  3. Step 3: Cross multiply
    68,912x = 151,792 × 151,792
  4. Step 4: Simplify right side
    68,912x = 23,040,811,264
  5. Step 5: Solve for x
    x = 23,040,811,264/68,912
  6. Step 6: Final answer
    x = 334,351.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.