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Finding the Third Proportional to 54,236.81 and 116,798.06

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Solution

The third proportional to 54,236.81 and 116,798.06 is: 251,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,236.81 : 116,798.06 = 116,798.06 : x
  2. Step 2: Convert to fraction form
    54,236.81/116,798.06 = 116,798.06/x
  3. Step 3: Cross multiply
    54,236.81x = 116,798.06 × 116,798.06
  4. Step 4: Simplify right side
    54,236.81x = 13,641,787,403.75
  5. Step 5: Solve for x
    x = 13,641,787,403.75/54,236.81
  6. Step 6: Final answer
    x = 251,522.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.