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Finding the Third Proportional to 54,452.19 and 117,247.94

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Solution

The third proportional to 54,452.19 and 117,247.94 is: 252,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,452.19 : 117,247.94 = 117,247.94 : x
  2. Step 2: Convert to fraction form
    54,452.19/117,247.94 = 117,247.94/x
  3. Step 3: Cross multiply
    54,452.19x = 117,247.94 × 117,247.94
  4. Step 4: Simplify right side
    54,452.19x = 13,747,078,848.00
  5. Step 5: Solve for x
    x = 13,747,078,848.00/54,452.19
  6. Step 6: Final answer
    x = 252,461.46

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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.