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Finding the Third Proportional to 96,641.44 and 145,145.25

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Solution

The third proportional to 96,641.44 and 145,145.25 is: 217,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,641.44 : 145,145.25 = 145,145.25 : x
  2. Step 2: Convert to fraction form
    96,641.44/145,145.25 = 145,145.25/x
  3. Step 3: Cross multiply
    96,641.44x = 145,145.25 × 145,145.25
  4. Step 4: Simplify right side
    96,641.44x = 21,067,143,597.56
  5. Step 5: Solve for x
    x = 21,067,143,597.56/96,641.44
  6. Step 6: Final answer
    x = 217,992.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.