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Finding the Third Proportional to 51,296 and 115,764

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Solution

The third proportional to 51,296 and 115,764 is: 261,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,296 : 115,764 = 115,764 : x
  2. Step 2: Convert to fraction form
    51,296/115,764 = 115,764/x
  3. Step 3: Cross multiply
    51,296x = 115,764 × 115,764
  4. Step 4: Simplify right side
    51,296x = 13,401,303,696
  5. Step 5: Solve for x
    x = 13,401,303,696/51,296
  6. Step 6: Final answer
    x = 261,254.36

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.