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Finding the Third Proportional to 42,601.88 and 92,256.56

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Solution

The third proportional to 42,601.88 and 92,256.56 is: 199,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,601.88 : 92,256.56 = 92,256.56 : x
  2. Step 2: Convert to fraction form
    42,601.88/92,256.56 = 92,256.56/x
  3. Step 3: Cross multiply
    42,601.88x = 92,256.56 × 92,256.56
  4. Step 4: Simplify right side
    42,601.88x = 8,511,273,324.32
  5. Step 5: Solve for x
    x = 8,511,273,324.32/42,601.88
  6. Step 6: Final answer
    x = 199,786.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.