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Finding the Third Proportional to 54,084 and 117,293.25

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Solution

The third proportional to 54,084 and 117,293.25 is: 254,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,084 : 117,293.25 = 117,293.25 : x
  2. Step 2: Convert to fraction form
    54,084/117,293.25 = 117,293.25/x
  3. Step 3: Cross multiply
    54,084x = 117,293.25 × 117,293.25
  4. Step 4: Simplify right side
    54,084x = 13,757,706,495.56
  5. Step 5: Solve for x
    x = 13,757,706,495.56/54,084
  6. Step 6: Final answer
    x = 254,376.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.