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Finding the Third Proportional to 96,966 and 150,057

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Solution

The third proportional to 96,966 and 150,057 is: 232,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,966 : 150,057 = 150,057 : x
  2. Step 2: Convert to fraction form
    96,966/150,057 = 150,057/x
  3. Step 3: Cross multiply
    96,966x = 150,057 × 150,057
  4. Step 4: Simplify right side
    96,966x = 22,517,103,249
  5. Step 5: Solve for x
    x = 22,517,103,249/96,966
  6. Step 6: Final answer
    x = 232,216.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.