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Finding the Third Proportional to 52,016 and 110,228

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Solution

The third proportional to 52,016 and 110,228 is: 233,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,016 : 110,228 = 110,228 : x
  2. Step 2: Convert to fraction form
    52,016/110,228 = 110,228/x
  3. Step 3: Cross multiply
    52,016x = 110,228 × 110,228
  4. Step 4: Simplify right side
    52,016x = 12,150,211,984
  5. Step 5: Solve for x
    x = 12,150,211,984/52,016
  6. Step 6: Final answer
    x = 233,586.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.