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Finding the Third Proportional to 54,968 and 117,724

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Solution

The third proportional to 54,968 and 117,724 is: 252,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,968 : 117,724 = 117,724 : x
  2. Step 2: Convert to fraction form
    54,968/117,724 = 117,724/x
  3. Step 3: Cross multiply
    54,968x = 117,724 × 117,724
  4. Step 4: Simplify right side
    54,968x = 13,858,940,176
  5. Step 5: Solve for x
    x = 13,858,940,176/54,968
  6. Step 6: Final answer
    x = 252,127.42

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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.