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Finding the Third Proportional to 102,422 and 158,241

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Solution

The third proportional to 102,422 and 158,241 is: 244,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,422 : 158,241 = 158,241 : x
  2. Step 2: Convert to fraction form
    102,422/158,241 = 158,241/x
  3. Step 3: Cross multiply
    102,422x = 158,241 × 158,241
  4. Step 4: Simplify right side
    102,422x = 25,040,214,081
  5. Step 5: Solve for x
    x = 25,040,214,081/102,422
  6. Step 6: Final answer
    x = 244,480.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.