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Finding the Third Proportional to 52,604.44 and 113,222.81

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Solution

The third proportional to 52,604.44 and 113,222.81 is: 243,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,604.44 : 113,222.81 = 113,222.81 : x
  2. Step 2: Convert to fraction form
    52,604.44/113,222.81 = 113,222.81/x
  3. Step 3: Cross multiply
    52,604.44x = 113,222.81 × 113,222.81
  4. Step 4: Simplify right side
    52,604.44x = 12,819,405,270.41
  5. Step 5: Solve for x
    x = 12,819,405,270.41/52,604.44
  6. Step 6: Final answer
    x = 243,694.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.