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Finding the Third Proportional to 51,804.56 and 111,878.72

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Solution

The third proportional to 51,804.56 and 111,878.72 is: 241,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,804.56 : 111,878.72 = 111,878.72 : x
  2. Step 2: Convert to fraction form
    51,804.56/111,878.72 = 111,878.72/x
  3. Step 3: Cross multiply
    51,804.56x = 111,878.72 × 111,878.72
  4. Step 4: Simplify right side
    51,804.56x = 12,516,847,709.14
  5. Step 5: Solve for x
    x = 12,516,847,709.14/51,804.56
  6. Step 6: Final answer
    x = 241,616.71

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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.