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Finding the Third Proportional to 63,867 and 96,684

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Solution

The third proportional to 63,867 and 96,684 is: 146,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,867 : 96,684 = 96,684 : x
  2. Step 2: Convert to fraction form
    63,867/96,684 = 96,684/x
  3. Step 3: Cross multiply
    63,867x = 96,684 × 96,684
  4. Step 4: Simplify right side
    63,867x = 9,347,795,856
  5. Step 5: Solve for x
    x = 9,347,795,856/63,867
  6. Step 6: Final answer
    x = 146,363.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.