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Finding the Third Proportional to 107,067.75 and 238,072.50

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Solution

The third proportional to 107,067.75 and 238,072.50 is: 529,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,067.75 : 238,072.50 = 238,072.50 : x
  2. Step 2: Convert to fraction form
    107,067.75/238,072.50 = 238,072.50/x
  3. Step 3: Cross multiply
    107,067.75x = 238,072.50 × 238,072.50
  4. Step 4: Simplify right side
    107,067.75x = 56,678,515,256.25
  5. Step 5: Solve for x
    x = 56,678,515,256.25/107,067.75
  6. Step 6: Final answer
    x = 529,370.56

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.