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Finding the Third Proportional to 53,738.44 and 113,880.94

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Solution

The third proportional to 53,738.44 and 113,880.94 is: 241,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738.44 : 113,880.94 = 113,880.94 : x
  2. Step 2: Convert to fraction form
    53,738.44/113,880.94 = 113,880.94/x
  3. Step 3: Cross multiply
    53,738.44x = 113,880.94 × 113,880.94
  4. Step 4: Simplify right side
    53,738.44x = 12,968,867,925.88
  5. Step 5: Solve for x
    x = 12,968,867,925.88/53,738.44
  6. Step 6: Final answer
    x = 241,333.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.