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Finding the Third Proportional to 54,020.25 and 117,868.50

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Solution

The third proportional to 54,020.25 and 117,868.50 is: 257,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,020.25 : 117,868.50 = 117,868.50 : x
  2. Step 2: Convert to fraction form
    54,020.25/117,868.50 = 117,868.50/x
  3. Step 3: Cross multiply
    54,020.25x = 117,868.50 × 117,868.50
  4. Step 4: Simplify right side
    54,020.25x = 13,892,983,292.25
  5. Step 5: Solve for x
    x = 13,892,983,292.25/54,020.25
  6. Step 6: Final answer
    x = 257,181.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.