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Finding the Third Proportional to 64,059 and 100,200.75

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Solution

The third proportional to 64,059 and 100,200.75 is: 156,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,059 : 100,200.75 = 100,200.75 : x
  2. Step 2: Convert to fraction form
    64,059/100,200.75 = 100,200.75/x
  3. Step 3: Cross multiply
    64,059x = 100,200.75 × 100,200.75
  4. Step 4: Simplify right side
    64,059x = 10,040,190,300.56
  5. Step 5: Solve for x
    x = 10,040,190,300.56/64,059
  6. Step 6: Final answer
    x = 156,733.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.