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Finding the Third Proportional to 104,914 and 166,381

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Solution

The third proportional to 104,914 and 166,381 is: 263,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,914 : 166,381 = 166,381 : x
  2. Step 2: Convert to fraction form
    104,914/166,381 = 166,381/x
  3. Step 3: Cross multiply
    104,914x = 166,381 × 166,381
  4. Step 4: Simplify right side
    104,914x = 27,682,637,161
  5. Step 5: Solve for x
    x = 27,682,637,161/104,914
  6. Step 6: Final answer
    x = 263,860.28

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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.