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Finding the Third Proportional to 74,205.75 and 165,021

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Solution

The third proportional to 74,205.75 and 165,021 is: 366,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,205.75 : 165,021 = 165,021 : x
  2. Step 2: Convert to fraction form
    74,205.75/165,021 = 165,021/x
  3. Step 3: Cross multiply
    74,205.75x = 165,021 × 165,021
  4. Step 4: Simplify right side
    74,205.75x = 27,231,930,441
  5. Step 5: Solve for x
    x = 27,231,930,441/74,205.75
  6. Step 6: Final answer
    x = 366,978.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.