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Finding the Third Proportional to 74,022.75 and 150,793.50

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Solution

The third proportional to 74,022.75 and 150,793.50 is: 307,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,022.75 : 150,793.50 = 150,793.50 : x
  2. Step 2: Convert to fraction form
    74,022.75/150,793.50 = 150,793.50/x
  3. Step 3: Cross multiply
    74,022.75x = 150,793.50 × 150,793.50
  4. Step 4: Simplify right side
    74,022.75x = 22,738,679,642.25
  5. Step 5: Solve for x
    x = 22,738,679,642.25/74,022.75
  6. Step 6: Final answer
    x = 307,185.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.