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Finding the Third Proportional to 57,868 and 126,816

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Solution

The third proportional to 57,868 and 126,816 is: 277,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,868 : 126,816 = 126,816 : x
  2. Step 2: Convert to fraction form
    57,868/126,816 = 126,816/x
  3. Step 3: Cross multiply
    57,868x = 126,816 × 126,816
  4. Step 4: Simplify right side
    57,868x = 16,082,297,856
  5. Step 5: Solve for x
    x = 16,082,297,856/57,868
  6. Step 6: Final answer
    x = 277,913.49

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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.