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Finding the Third Proportional to 78,469.50 and 100,751.75

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Solution

The third proportional to 78,469.50 and 100,751.75 is: 129,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469.50 : 100,751.75 = 100,751.75 : x
  2. Step 2: Convert to fraction form
    78,469.50/100,751.75 = 100,751.75/x
  3. Step 3: Cross multiply
    78,469.50x = 100,751.75 × 100,751.75
  4. Step 4: Simplify right side
    78,469.50x = 10,150,915,128.06
  5. Step 5: Solve for x
    x = 10,150,915,128.06/78,469.50
  6. Step 6: Final answer
    x = 129,361.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.