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Finding the Third Proportional to 65,536 and 140,629

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Solution

The third proportional to 65,536 and 140,629 is: 301,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,536 : 140,629 = 140,629 : x
  2. Step 2: Convert to fraction form
    65,536/140,629 = 140,629/x
  3. Step 3: Cross multiply
    65,536x = 140,629 × 140,629
  4. Step 4: Simplify right side
    65,536x = 19,776,515,641
  5. Step 5: Solve for x
    x = 19,776,515,641/65,536
  6. Step 6: Final answer
    x = 301,765.68

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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.