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Finding the Third Proportional to 54,078 and 118,686

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Solution

The third proportional to 54,078 and 118,686 is: 260,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,078 : 118,686 = 118,686 : x
  2. Step 2: Convert to fraction form
    54,078/118,686 = 118,686/x
  3. Step 3: Cross multiply
    54,078x = 118,686 × 118,686
  4. Step 4: Simplify right side
    54,078x = 14,086,366,596
  5. Step 5: Solve for x
    x = 14,086,366,596/54,078
  6. Step 6: Final answer
    x = 260,482.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.