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Finding the Third Proportional to 52,065.28 and 113,759.44

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Solution

The third proportional to 52,065.28 and 113,759.44 is: 248,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,065.28 : 113,759.44 = 113,759.44 : x
  2. Step 2: Convert to fraction form
    52,065.28/113,759.44 = 113,759.44/x
  3. Step 3: Cross multiply
    52,065.28x = 113,759.44 × 113,759.44
  4. Step 4: Simplify right side
    52,065.28x = 12,941,209,620.32
  5. Step 5: Solve for x
    x = 12,941,209,620.32/52,065.28
  6. Step 6: Final answer
    x = 248,557.37

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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.