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Finding the Third Proportional to 54,103 and 118,039

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Solution

The third proportional to 54,103 and 118,039 is: 257,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,103 : 118,039 = 118,039 : x
  2. Step 2: Convert to fraction form
    54,103/118,039 = 118,039/x
  3. Step 3: Cross multiply
    54,103x = 118,039 × 118,039
  4. Step 4: Simplify right side
    54,103x = 13,933,205,521
  5. Step 5: Solve for x
    x = 13,933,205,521/54,103
  6. Step 6: Final answer
    x = 257,531.11

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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.