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Finding the Third Proportional to 57,882 and 126,846

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Solution

The third proportional to 57,882 and 126,846 is: 277,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882 : 126,846 = 126,846 : x
  2. Step 2: Convert to fraction form
    57,882/126,846 = 126,846/x
  3. Step 3: Cross multiply
    57,882x = 126,846 × 126,846
  4. Step 4: Simplify right side
    57,882x = 16,089,907,716
  5. Step 5: Solve for x
    x = 16,089,907,716/57,882
  6. Step 6: Final answer
    x = 277,977.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.