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Finding the Third Proportional to 65,168 and 142,809

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Solution

The third proportional to 65,168 and 142,809 is: 312,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,168 : 142,809 = 142,809 : x
  2. Step 2: Convert to fraction form
    65,168/142,809 = 142,809/x
  3. Step 3: Cross multiply
    65,168x = 142,809 × 142,809
  4. Step 4: Simplify right side
    65,168x = 20,394,410,481
  5. Step 5: Solve for x
    x = 20,394,410,481/65,168
  6. Step 6: Final answer
    x = 312,951.30

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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.