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Finding the Third Proportional to 65,367 and 100,986.75

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Solution

The third proportional to 65,367 and 100,986.75 is: 156,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367 : 100,986.75 = 100,986.75 : x
  2. Step 2: Convert to fraction form
    65,367/100,986.75 = 100,986.75/x
  3. Step 3: Cross multiply
    65,367x = 100,986.75 × 100,986.75
  4. Step 4: Simplify right side
    65,367x = 10,198,323,675.56
  5. Step 5: Solve for x
    x = 10,198,323,675.56/65,367
  6. Step 6: Final answer
    x = 156,016.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.