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Finding the Third Proportional to 52,898 and 110,171

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Solution

The third proportional to 52,898 and 110,171 is: 229,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,898 : 110,171 = 110,171 : x
  2. Step 2: Convert to fraction form
    52,898/110,171 = 110,171/x
  3. Step 3: Cross multiply
    52,898x = 110,171 × 110,171
  4. Step 4: Simplify right side
    52,898x = 12,137,649,241
  5. Step 5: Solve for x
    x = 12,137,649,241/52,898
  6. Step 6: Final answer
    x = 229,453.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.