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Finding the Third Proportional to 82,003.78 and 122,372.72

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Solution

The third proportional to 82,003.78 and 122,372.72 is: 182,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.78 : 122,372.72 = 122,372.72 : x
  2. Step 2: Convert to fraction form
    82,003.78/122,372.72 = 122,372.72/x
  3. Step 3: Cross multiply
    82,003.78x = 122,372.72 × 122,372.72
  4. Step 4: Simplify right side
    82,003.78x = 14,975,082,294.27
  5. Step 5: Solve for x
    x = 14,975,082,294.27/82,003.78
  6. Step 6: Final answer
    x = 182,614.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.