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Finding the Third Proportional to 51,942.66 and 112,086.56

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Solution

The third proportional to 51,942.66 and 112,086.56 is: 241,870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,942.66 : 112,086.56 = 112,086.56 : x
  2. Step 2: Convert to fraction form
    51,942.66/112,086.56 = 112,086.56/x
  3. Step 3: Cross multiply
    51,942.66x = 112,086.56 × 112,086.56
  4. Step 4: Simplify right side
    51,942.66x = 12,563,397,493.07
  5. Step 5: Solve for x
    x = 12,563,397,493.07/51,942.66
  6. Step 6: Final answer
    x = 241,870.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.