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Finding the Third Proportional to 39,274 and 80,852

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Solution

The third proportional to 39,274 and 80,852 is: 166,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,274 : 80,852 = 80,852 : x
  2. Step 2: Convert to fraction form
    39,274/80,852 = 80,852/x
  3. Step 3: Cross multiply
    39,274x = 80,852 × 80,852
  4. Step 4: Simplify right side
    39,274x = 6,537,045,904
  5. Step 5: Solve for x
    x = 6,537,045,904/39,274
  6. Step 6: Final answer
    x = 166,447.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.