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Finding the Third Proportional to 81,639 and 126,099

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Solution

The third proportional to 81,639 and 126,099 is: 194,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,639 : 126,099 = 126,099 : x
  2. Step 2: Convert to fraction form
    81,639/126,099 = 126,099/x
  3. Step 3: Cross multiply
    81,639x = 126,099 × 126,099
  4. Step 4: Simplify right side
    81,639x = 15,900,957,801
  5. Step 5: Solve for x
    x = 15,900,957,801/81,639
  6. Step 6: Final answer
    x = 194,771.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.