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Finding the Third Proportional to 95,453.44 and 144,387.56

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Solution

The third proportional to 95,453.44 and 144,387.56 is: 218,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,453.44 : 144,387.56 = 144,387.56 : x
  2. Step 2: Convert to fraction form
    95,453.44/144,387.56 = 144,387.56/x
  3. Step 3: Cross multiply
    95,453.44x = 144,387.56 × 144,387.56
  4. Step 4: Simplify right side
    95,453.44x = 20,847,768,204.69
  5. Step 5: Solve for x
    x = 20,847,768,204.69/95,453.44
  6. Step 6: Final answer
    x = 218,407.73

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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.