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Finding the Third Proportional to 54,268 and 118,334

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Solution

The third proportional to 54,268 and 118,334 is: 258,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,268 : 118,334 = 118,334 : x
  2. Step 2: Convert to fraction form
    54,268/118,334 = 118,334/x
  3. Step 3: Cross multiply
    54,268x = 118,334 × 118,334
  4. Step 4: Simplify right side
    54,268x = 14,002,935,556
  5. Step 5: Solve for x
    x = 14,002,935,556/54,268
  6. Step 6: Final answer
    x = 258,033.01

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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.