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Finding the Third Proportional to 104,862 and 166,794

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Solution

The third proportional to 104,862 and 166,794 is: 265,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,862 : 166,794 = 166,794 : x
  2. Step 2: Convert to fraction form
    104,862/166,794 = 166,794/x
  3. Step 3: Cross multiply
    104,862x = 166,794 × 166,794
  4. Step 4: Simplify right side
    104,862x = 27,820,238,436
  5. Step 5: Solve for x
    x = 27,820,238,436/104,862
  6. Step 6: Final answer
    x = 265,303.34

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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.