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Finding the Third Proportional to 70,133 and 150,961

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Solution

The third proportional to 70,133 and 150,961 is: 324,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,133 : 150,961 = 150,961 : x
  2. Step 2: Convert to fraction form
    70,133/150,961 = 150,961/x
  3. Step 3: Cross multiply
    70,133x = 150,961 × 150,961
  4. Step 4: Simplify right side
    70,133x = 22,789,223,521
  5. Step 5: Solve for x
    x = 22,789,223,521/70,133
  6. Step 6: Final answer
    x = 324,942.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.