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Finding the Third Proportional to 103,087 and 150,939

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Solution

The third proportional to 103,087 and 150,939 is: 221,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,087 : 150,939 = 150,939 : x
  2. Step 2: Convert to fraction form
    103,087/150,939 = 150,939/x
  3. Step 3: Cross multiply
    103,087x = 150,939 × 150,939
  4. Step 4: Simplify right side
    103,087x = 22,782,581,721
  5. Step 5: Solve for x
    x = 22,782,581,721/103,087
  6. Step 6: Final answer
    x = 221,003.44

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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.