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Finding the Third Proportional to 65,662 and 96,163.75

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Solution

The third proportional to 65,662 and 96,163.75 is: 140,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,662 : 96,163.75 = 96,163.75 : x
  2. Step 2: Convert to fraction form
    65,662/96,163.75 = 96,163.75/x
  3. Step 3: Cross multiply
    65,662x = 96,163.75 × 96,163.75
  4. Step 4: Simplify right side
    65,662x = 9,247,466,814.06
  5. Step 5: Solve for x
    x = 9,247,466,814.06/65,662
  6. Step 6: Final answer
    x = 140,834.38

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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.