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Finding the Third Proportional to 82,884 and 125,016

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Solution

The third proportional to 82,884 and 125,016 is: 188,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,884 : 125,016 = 125,016 : x
  2. Step 2: Convert to fraction form
    82,884/125,016 = 125,016/x
  3. Step 3: Cross multiply
    82,884x = 125,016 × 125,016
  4. Step 4: Simplify right side
    82,884x = 15,629,000,256
  5. Step 5: Solve for x
    x = 15,629,000,256/82,884
  6. Step 6: Final answer
    x = 188,564.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.