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Finding the Third Proportional to 65,801 and 96,244

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Solution

The third proportional to 65,801 and 96,244 is: 140,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801 : 96,244 = 96,244 : x
  2. Step 2: Convert to fraction form
    65,801/96,244 = 96,244/x
  3. Step 3: Cross multiply
    65,801x = 96,244 × 96,244
  4. Step 4: Simplify right side
    65,801x = 9,262,907,536
  5. Step 5: Solve for x
    x = 9,262,907,536/65,801
  6. Step 6: Final answer
    x = 140,771.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.