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Finding the Third Proportional to 54,794 and 117,356

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Solution

The third proportional to 54,794 and 117,356 is: 251,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,794 : 117,356 = 117,356 : x
  2. Step 2: Convert to fraction form
    54,794/117,356 = 117,356/x
  3. Step 3: Cross multiply
    54,794x = 117,356 × 117,356
  4. Step 4: Simplify right side
    54,794x = 13,772,430,736
  5. Step 5: Solve for x
    x = 13,772,430,736/54,794
  6. Step 6: Final answer
    x = 251,349.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.