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Finding the Third Proportional to 52,956 and 110,268

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Solution

The third proportional to 52,956 and 110,268 is: 229,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,956 : 110,268 = 110,268 : x
  2. Step 2: Convert to fraction form
    52,956/110,268 = 110,268/x
  3. Step 3: Cross multiply
    52,956x = 110,268 × 110,268
  4. Step 4: Simplify right side
    52,956x = 12,159,031,824
  5. Step 5: Solve for x
    x = 12,159,031,824/52,956
  6. Step 6: Final answer
    x = 229,606.31

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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.