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Finding the Third Proportional to 45,644 and 98,104

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Solution

The third proportional to 45,644 and 98,104 is: 210,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,644 : 98,104 = 98,104 : x
  2. Step 2: Convert to fraction form
    45,644/98,104 = 98,104/x
  3. Step 3: Cross multiply
    45,644x = 98,104 × 98,104
  4. Step 4: Simplify right side
    45,644x = 9,624,394,816
  5. Step 5: Solve for x
    x = 9,624,394,816/45,644
  6. Step 6: Final answer
    x = 210,857.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.