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Finding the Third Proportional to 69,696 and 150,912

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Solution

The third proportional to 69,696 and 150,912 is: 326,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,696 : 150,912 = 150,912 : x
  2. Step 2: Convert to fraction form
    69,696/150,912 = 150,912/x
  3. Step 3: Cross multiply
    69,696x = 150,912 × 150,912
  4. Step 4: Simplify right side
    69,696x = 22,774,431,744
  5. Step 5: Solve for x
    x = 22,774,431,744/69,696
  6. Step 6: Final answer
    x = 326,768.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.