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Finding the Third Proportional to 51,255 and 110,036

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Solution

The third proportional to 51,255 and 110,036 is: 236,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,255 : 110,036 = 110,036 : x
  2. Step 2: Convert to fraction form
    51,255/110,036 = 110,036/x
  3. Step 3: Cross multiply
    51,255x = 110,036 × 110,036
  4. Step 4: Simplify right side
    51,255x = 12,107,921,296
  5. Step 5: Solve for x
    x = 12,107,921,296/51,255
  6. Step 6: Final answer
    x = 236,229.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.