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Finding the Third Proportional to 57,212 and 123,956

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Solution

The third proportional to 57,212 and 123,956 is: 268,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,212 : 123,956 = 123,956 : x
  2. Step 2: Convert to fraction form
    57,212/123,956 = 123,956/x
  3. Step 3: Cross multiply
    57,212x = 123,956 × 123,956
  4. Step 4: Simplify right side
    57,212x = 15,365,089,936
  5. Step 5: Solve for x
    x = 15,365,089,936/57,212
  6. Step 6: Final answer
    x = 268,564.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.