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Finding the Third Proportional to 45,236 and 98,104

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Solution

The third proportional to 45,236 and 98,104 is: 212,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,236 : 98,104 = 98,104 : x
  2. Step 2: Convert to fraction form
    45,236/98,104 = 98,104/x
  3. Step 3: Cross multiply
    45,236x = 98,104 × 98,104
  4. Step 4: Simplify right side
    45,236x = 9,624,394,816
  5. Step 5: Solve for x
    x = 9,624,394,816/45,236
  6. Step 6: Final answer
    x = 212,759.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.