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Finding the Third Proportional to 65,477 and 140,512

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Solution

The third proportional to 65,477 and 140,512 is: 301,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,477 : 140,512 = 140,512 : x
  2. Step 2: Convert to fraction form
    65,477/140,512 = 140,512/x
  3. Step 3: Cross multiply
    65,477x = 140,512 × 140,512
  4. Step 4: Simplify right side
    65,477x = 19,743,622,144
  5. Step 5: Solve for x
    x = 19,743,622,144/65,477
  6. Step 6: Final answer
    x = 301,535.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.