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Finding the Third Proportional to 104,422 and 168,135

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Solution

The third proportional to 104,422 and 168,135 is: 270,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,422 : 168,135 = 168,135 : x
  2. Step 2: Convert to fraction form
    104,422/168,135 = 168,135/x
  3. Step 3: Cross multiply
    104,422x = 168,135 × 168,135
  4. Step 4: Simplify right side
    104,422x = 28,269,378,225
  5. Step 5: Solve for x
    x = 28,269,378,225/104,422
  6. Step 6: Final answer
    x = 270,722.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.