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Finding the Third Proportional to 54,764 and 118,267

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Solution

The third proportional to 54,764 and 118,267 is: 255,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,764 : 118,267 = 118,267 : x
  2. Step 2: Convert to fraction form
    54,764/118,267 = 118,267/x
  3. Step 3: Cross multiply
    54,764x = 118,267 × 118,267
  4. Step 4: Simplify right side
    54,764x = 13,987,083,289
  5. Step 5: Solve for x
    x = 13,987,083,289/54,764
  6. Step 6: Final answer
    x = 255,406.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.