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Finding the Third Proportional to 75,020.25 and 162,918.75

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Solution

The third proportional to 75,020.25 and 162,918.75 is: 353,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,020.25 : 162,918.75 = 162,918.75 : x
  2. Step 2: Convert to fraction form
    75,020.25/162,918.75 = 162,918.75/x
  3. Step 3: Cross multiply
    75,020.25x = 162,918.75 × 162,918.75
  4. Step 4: Simplify right side
    75,020.25x = 26,542,519,101.56
  5. Step 5: Solve for x
    x = 26,542,519,101.56/75,020.25
  6. Step 6: Final answer
    x = 353,804.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.