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Finding the Third Proportional to 70,119 and 150,201

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Solution

The third proportional to 70,119 and 150,201 is: 321,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,119 : 150,201 = 150,201 : x
  2. Step 2: Convert to fraction form
    70,119/150,201 = 150,201/x
  3. Step 3: Cross multiply
    70,119x = 150,201 × 150,201
  4. Step 4: Simplify right side
    70,119x = 22,560,340,401
  5. Step 5: Solve for x
    x = 22,560,340,401/70,119
  6. Step 6: Final answer
    x = 321,743.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.