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Finding the Third Proportional to 54,830 and 117,976

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Solution

The third proportional to 54,830 and 117,976 is: 253,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,830 : 117,976 = 117,976 : x
  2. Step 2: Convert to fraction form
    54,830/117,976 = 117,976/x
  3. Step 3: Cross multiply
    54,830x = 117,976 × 117,976
  4. Step 4: Simplify right side
    54,830x = 13,918,336,576
  5. Step 5: Solve for x
    x = 13,918,336,576/54,830
  6. Step 6: Final answer
    x = 253,845.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.