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Finding the Third Proportional to 95,199.75 and 145,847.25

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Solution

The third proportional to 95,199.75 and 145,847.25 is: 223,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,199.75 : 145,847.25 = 145,847.25 : x
  2. Step 2: Convert to fraction form
    95,199.75/145,847.25 = 145,847.25/x
  3. Step 3: Cross multiply
    95,199.75x = 145,847.25 × 145,847.25
  4. Step 4: Simplify right side
    95,199.75x = 21,271,420,332.56
  5. Step 5: Solve for x
    x = 21,271,420,332.56/95,199.75
  6. Step 6: Final answer
    x = 223,439.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.