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Finding the Third Proportional to 54,546 and 115,683

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Solution

The third proportional to 54,546 and 115,683 is: 245,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,546 : 115,683 = 115,683 : x
  2. Step 2: Convert to fraction form
    54,546/115,683 = 115,683/x
  3. Step 3: Cross multiply
    54,546x = 115,683 × 115,683
  4. Step 4: Simplify right side
    54,546x = 13,382,556,489
  5. Step 5: Solve for x
    x = 13,382,556,489/54,546
  6. Step 6: Final answer
    x = 245,344.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.