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Finding the Third Proportional to 73,854 and 150,414.75

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Solution

The third proportional to 73,854 and 150,414.75 is: 306,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854 : 150,414.75 = 150,414.75 : x
  2. Step 2: Convert to fraction form
    73,854/150,414.75 = 150,414.75/x
  3. Step 3: Cross multiply
    73,854x = 150,414.75 × 150,414.75
  4. Step 4: Simplify right side
    73,854x = 22,624,597,017.56
  5. Step 5: Solve for x
    x = 22,624,597,017.56/73,854
  6. Step 6: Final answer
    x = 306,342.20

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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.