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Finding the Third Proportional to 54,530 and 117,411

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Solution

The third proportional to 54,530 and 117,411 is: 252,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,530 : 117,411 = 117,411 : x
  2. Step 2: Convert to fraction form
    54,530/117,411 = 117,411/x
  3. Step 3: Cross multiply
    54,530x = 117,411 × 117,411
  4. Step 4: Simplify right side
    54,530x = 13,785,342,921
  5. Step 5: Solve for x
    x = 13,785,342,921/54,530
  6. Step 6: Final answer
    x = 252,802.91

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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.