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Finding the Third Proportional to 51,535.41 and 111,883.36

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Solution

The third proportional to 51,535.41 and 111,883.36 is: 242,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,535.41 : 111,883.36 = 111,883.36 : x
  2. Step 2: Convert to fraction form
    51,535.41/111,883.36 = 111,883.36/x
  3. Step 3: Cross multiply
    51,535.41x = 111,883.36 × 111,883.36
  4. Step 4: Simplify right side
    51,535.41x = 12,517,886,105.04
  5. Step 5: Solve for x
    x = 12,517,886,105.04/51,535.41
  6. Step 6: Final answer
    x = 242,898.76

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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.