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Finding the Third Proportional to 69,654 and 150,972

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Solution

The third proportional to 69,654 and 150,972 is: 327,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,654 : 150,972 = 150,972 : x
  2. Step 2: Convert to fraction form
    69,654/150,972 = 150,972/x
  3. Step 3: Cross multiply
    69,654x = 150,972 × 150,972
  4. Step 4: Simplify right side
    69,654x = 22,792,544,784
  5. Step 5: Solve for x
    x = 22,792,544,784/69,654
  6. Step 6: Final answer
    x = 327,225.21

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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.