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Finding the Third Proportional to 65,108 and 133,672

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Solution

The third proportional to 65,108 and 133,672 is: 274,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108 : 133,672 = 133,672 : x
  2. Step 2: Convert to fraction form
    65,108/133,672 = 133,672/x
  3. Step 3: Cross multiply
    65,108x = 133,672 × 133,672
  4. Step 4: Simplify right side
    65,108x = 17,868,203,584
  5. Step 5: Solve for x
    x = 17,868,203,584/65,108
  6. Step 6: Final answer
    x = 274,439.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.