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Finding the Third Proportional to 54,251.25 and 83,994

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Solution

The third proportional to 54,251.25 and 83,994 is: 130,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,251.25 : 83,994 = 83,994 : x
  2. Step 2: Convert to fraction form
    54,251.25/83,994 = 83,994/x
  3. Step 3: Cross multiply
    54,251.25x = 83,994 × 83,994
  4. Step 4: Simplify right side
    54,251.25x = 7,054,992,036
  5. Step 5: Solve for x
    x = 7,054,992,036/54,251.25
  6. Step 6: Final answer
    x = 130,042.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.