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Finding the Third Proportional to 71,325 and 150,607

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Solution

The third proportional to 71,325 and 150,607 is: 318,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,325 : 150,607 = 150,607 : x
  2. Step 2: Convert to fraction form
    71,325/150,607 = 150,607/x
  3. Step 3: Cross multiply
    71,325x = 150,607 × 150,607
  4. Step 4: Simplify right side
    71,325x = 22,682,468,449
  5. Step 5: Solve for x
    x = 22,682,468,449/71,325
  6. Step 6: Final answer
    x = 318,015.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.