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Finding the Third Proportional to 52,949 and 110,211

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Solution

The third proportional to 52,949 and 110,211 is: 229,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,949 : 110,211 = 110,211 : x
  2. Step 2: Convert to fraction form
    52,949/110,211 = 110,211/x
  3. Step 3: Cross multiply
    52,949x = 110,211 × 110,211
  4. Step 4: Simplify right side
    52,949x = 12,146,464,521
  5. Step 5: Solve for x
    x = 12,146,464,521/52,949
  6. Step 6: Final answer
    x = 229,399.32

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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.