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Finding the Third Proportional to 54,880.50 and 122,937

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Solution

The third proportional to 54,880.50 and 122,937 is: 275,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,880.50 : 122,937 = 122,937 : x
  2. Step 2: Convert to fraction form
    54,880.50/122,937 = 122,937/x
  3. Step 3: Cross multiply
    54,880.50x = 122,937 × 122,937
  4. Step 4: Simplify right side
    54,880.50x = 15,113,505,969
  5. Step 5: Solve for x
    x = 15,113,505,969/54,880.50
  6. Step 6: Final answer
    x = 275,389.36

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.