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Finding the Third Proportional to 75,980.53 and 165,339.56

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Solution

The third proportional to 75,980.53 and 165,339.56 is: 359,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.53 : 165,339.56 = 165,339.56 : x
  2. Step 2: Convert to fraction form
    75,980.53/165,339.56 = 165,339.56/x
  3. Step 3: Cross multiply
    75,980.53x = 165,339.56 × 165,339.56
  4. Step 4: Simplify right side
    75,980.53x = 27,337,170,927.69
  5. Step 5: Solve for x
    x = 27,337,170,927.69/75,980.53
  6. Step 6: Final answer
    x = 359,791.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.