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Finding the Third Proportional to 54,858 and 118,041

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Solution

The third proportional to 54,858 and 118,041 is: 253,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,858 : 118,041 = 118,041 : x
  2. Step 2: Convert to fraction form
    54,858/118,041 = 118,041/x
  3. Step 3: Cross multiply
    54,858x = 118,041 × 118,041
  4. Step 4: Simplify right side
    54,858x = 13,933,677,681
  5. Step 5: Solve for x
    x = 13,933,677,681/54,858
  6. Step 6: Final answer
    x = 253,995.36

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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.