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Finding the Third Proportional to 69,996 and 153,601

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Solution

The third proportional to 69,996 and 153,601 is: 337,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,996 : 153,601 = 153,601 : x
  2. Step 2: Convert to fraction form
    69,996/153,601 = 153,601/x
  3. Step 3: Cross multiply
    69,996x = 153,601 × 153,601
  4. Step 4: Simplify right side
    69,996x = 23,593,267,201
  5. Step 5: Solve for x
    x = 23,593,267,201/69,996
  6. Step 6: Final answer
    x = 337,065.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.