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Finding the Third Proportional to 103,226 and 150,857

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Solution

The third proportional to 103,226 and 150,857 is: 220,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,226 : 150,857 = 150,857 : x
  2. Step 2: Convert to fraction form
    103,226/150,857 = 150,857/x
  3. Step 3: Cross multiply
    103,226x = 150,857 × 150,857
  4. Step 4: Simplify right side
    103,226x = 22,757,834,449
  5. Step 5: Solve for x
    x = 22,757,834,449/103,226
  6. Step 6: Final answer
    x = 220,466.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.