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Finding the Third Proportional to 82,941 and 125,099

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Solution

The third proportional to 82,941 and 125,099 is: 188,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,941 : 125,099 = 125,099 : x
  2. Step 2: Convert to fraction form
    82,941/125,099 = 125,099/x
  3. Step 3: Cross multiply
    82,941x = 125,099 × 125,099
  4. Step 4: Simplify right side
    82,941x = 15,649,759,801
  5. Step 5: Solve for x
    x = 15,649,759,801/82,941
  6. Step 6: Final answer
    x = 188,685.45

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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.