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Finding the Third Proportional to 95,964.75 and 145,268.44

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Solution

The third proportional to 95,964.75 and 145,268.44 is: 219,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,964.75 : 145,268.44 = 145,268.44 : x
  2. Step 2: Convert to fraction form
    95,964.75/145,268.44 = 145,268.44/x
  3. Step 3: Cross multiply
    95,964.75x = 145,268.44 × 145,268.44
  4. Step 4: Simplify right side
    95,964.75x = 21,102,918,933.69
  5. Step 5: Solve for x
    x = 21,102,918,933.69/95,964.75
  6. Step 6: Final answer
    x = 219,902.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.