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Finding the Third Proportional to 54,731.63 and 117,906.38

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Solution

The third proportional to 54,731.63 and 117,906.38 is: 254,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,731.63 : 117,906.38 = 117,906.38 : x
  2. Step 2: Convert to fraction form
    54,731.63/117,906.38 = 117,906.38/x
  3. Step 3: Cross multiply
    54,731.63x = 117,906.38 × 117,906.38
  4. Step 4: Simplify right side
    54,731.63x = 13,901,913,265.64
  5. Step 5: Solve for x
    x = 13,901,913,265.64/54,731.63
  6. Step 6: Final answer
    x = 254,001.47

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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.