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Finding the Third Proportional to 51,467.06 and 110,067.19

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Solution

The third proportional to 51,467.06 and 110,067.19 is: 235,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,467.06 : 110,067.19 = 110,067.19 : x
  2. Step 2: Convert to fraction form
    51,467.06/110,067.19 = 110,067.19/x
  3. Step 3: Cross multiply
    51,467.06x = 110,067.19 × 110,067.19
  4. Step 4: Simplify right side
    51,467.06x = 12,114,785,764.16
  5. Step 5: Solve for x
    x = 12,114,785,764.16/51,467.06
  6. Step 6: Final answer
    x = 235,389.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.