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Finding the Third Proportional to 54,003 and 117,753

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Solution

The third proportional to 54,003 and 117,753 is: 256,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,003 : 117,753 = 117,753 : x
  2. Step 2: Convert to fraction form
    54,003/117,753 = 117,753/x
  3. Step 3: Cross multiply
    54,003x = 117,753 × 117,753
  4. Step 4: Simplify right side
    54,003x = 13,865,769,009
  5. Step 5: Solve for x
    x = 13,865,769,009/54,003
  6. Step 6: Final answer
    x = 256,759.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.