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Finding the Third Proportional to 70,652 and 150,916

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Solution

The third proportional to 70,652 and 150,916 is: 322,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652 : 150,916 = 150,916 : x
  2. Step 2: Convert to fraction form
    70,652/150,916 = 150,916/x
  3. Step 3: Cross multiply
    70,652x = 150,916 × 150,916
  4. Step 4: Simplify right side
    70,652x = 22,775,639,056
  5. Step 5: Solve for x
    x = 22,775,639,056/70,652
  6. Step 6: Final answer
    x = 322,363.68

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Why These Related Problems?

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