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Finding the Third Proportional to 52,268 and 110,296

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Solution

The third proportional to 52,268 and 110,296 is: 232,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,268 : 110,296 = 110,296 : x
  2. Step 2: Convert to fraction form
    52,268/110,296 = 110,296/x
  3. Step 3: Cross multiply
    52,268x = 110,296 × 110,296
  4. Step 4: Simplify right side
    52,268x = 12,165,207,616
  5. Step 5: Solve for x
    x = 12,165,207,616/52,268
  6. Step 6: Final answer
    x = 232,746.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.