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Finding the Third Proportional to 54,865.97 and 117,916.31

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Solution

The third proportional to 54,865.97 and 117,916.31 is: 253,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,865.97 : 117,916.31 = 117,916.31 : x
  2. Step 2: Convert to fraction form
    54,865.97/117,916.31 = 117,916.31/x
  3. Step 3: Cross multiply
    54,865.97x = 117,916.31 × 117,916.31
  4. Step 4: Simplify right side
    54,865.97x = 13,904,256,753.60
  5. Step 5: Solve for x
    x = 13,904,256,753.60/54,865.97
  6. Step 6: Final answer
    x = 253,422.24

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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.