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Finding the Third Proportional to 52,022 and 113,956

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Solution

The third proportional to 52,022 and 113,956 is: 249,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022 : 113,956 = 113,956 : x
  2. Step 2: Convert to fraction form
    52,022/113,956 = 113,956/x
  3. Step 3: Cross multiply
    52,022x = 113,956 × 113,956
  4. Step 4: Simplify right side
    52,022x = 12,985,969,936
  5. Step 5: Solve for x
    x = 12,985,969,936/52,022
  6. Step 6: Final answer
    x = 249,624.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.