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Finding the Third Proportional to 104,852 and 166,778

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Solution

The third proportional to 104,852 and 166,778 is: 265,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,852 : 166,778 = 166,778 : x
  2. Step 2: Convert to fraction form
    104,852/166,778 = 166,778/x
  3. Step 3: Cross multiply
    104,852x = 166,778 × 166,778
  4. Step 4: Simplify right side
    104,852x = 27,814,901,284
  5. Step 5: Solve for x
    x = 27,814,901,284/104,852
  6. Step 6: Final answer
    x = 265,277.74

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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.