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Finding the Third Proportional to 104,912 and 166,378

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Solution

The third proportional to 104,912 and 166,378 is: 263,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,912 : 166,378 = 166,378 : x
  2. Step 2: Convert to fraction form
    104,912/166,378 = 166,378/x
  3. Step 3: Cross multiply
    104,912x = 166,378 × 166,378
  4. Step 4: Simplify right side
    104,912x = 27,681,638,884
  5. Step 5: Solve for x
    x = 27,681,638,884/104,912
  6. Step 6: Final answer
    x = 263,855.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.