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Finding the Third Proportional to 70,126 and 150,944

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Solution

The third proportional to 70,126 and 150,944 is: 324,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,126 : 150,944 = 150,944 : x
  2. Step 2: Convert to fraction form
    70,126/150,944 = 150,944/x
  3. Step 3: Cross multiply
    70,126x = 150,944 × 150,944
  4. Step 4: Simplify right side
    70,126x = 22,784,091,136
  5. Step 5: Solve for x
    x = 22,784,091,136/70,126
  6. Step 6: Final answer
    x = 324,902.19

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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.