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Finding the Third Proportional to 57,242 and 83,667

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Solution

The third proportional to 57,242 and 83,667 is: 122,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242 : 83,667 = 83,667 : x
  2. Step 2: Convert to fraction form
    57,242/83,667 = 83,667/x
  3. Step 3: Cross multiply
    57,242x = 83,667 × 83,667
  4. Step 4: Simplify right side
    57,242x = 7,000,166,889
  5. Step 5: Solve for x
    x = 7,000,166,889/57,242
  6. Step 6: Final answer
    x = 122,290.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.