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Finding the Third Proportional to 72,333 and 150,201

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Solution

The third proportional to 72,333 and 150,201 is: 311,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,333 : 150,201 = 150,201 : x
  2. Step 2: Convert to fraction form
    72,333/150,201 = 150,201/x
  3. Step 3: Cross multiply
    72,333x = 150,201 × 150,201
  4. Step 4: Simplify right side
    72,333x = 22,560,340,401
  5. Step 5: Solve for x
    x = 22,560,340,401/72,333
  6. Step 6: Final answer
    x = 311,895.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.