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Finding the Third Proportional to 57,950.44 and 122,231.53

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Solution

The third proportional to 57,950.44 and 122,231.53 is: 257,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,950.44 : 122,231.53 = 122,231.53 : x
  2. Step 2: Convert to fraction form
    57,950.44/122,231.53 = 122,231.53/x
  3. Step 3: Cross multiply
    57,950.44x = 122,231.53 × 122,231.53
  4. Step 4: Simplify right side
    57,950.44x = 14,940,547,231.72
  5. Step 5: Solve for x
    x = 14,940,547,231.72/57,950.44
  6. Step 6: Final answer
    x = 257,815.95

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.