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Finding the Third Proportional to 107,698 and 154,162

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Solution

The third proportional to 107,698 and 154,162 is: 220,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,698 : 154,162 = 154,162 : x
  2. Step 2: Convert to fraction form
    107,698/154,162 = 154,162/x
  3. Step 3: Cross multiply
    107,698x = 154,162 × 154,162
  4. Step 4: Simplify right side
    107,698x = 23,765,922,244
  5. Step 5: Solve for x
    x = 23,765,922,244/107,698
  6. Step 6: Final answer
    x = 220,671.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.