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Finding the Third Proportional to 104,858 and 166,788

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Solution

The third proportional to 104,858 and 166,788 is: 265,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,858 : 166,788 = 166,788 : x
  2. Step 2: Convert to fraction form
    104,858/166,788 = 166,788/x
  3. Step 3: Cross multiply
    104,858x = 166,788 × 166,788
  4. Step 4: Simplify right side
    104,858x = 27,818,236,944
  5. Step 5: Solve for x
    x = 27,818,236,944/104,858
  6. Step 6: Final answer
    x = 265,294.37

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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.