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Finding the Third Proportional to 54,372.38 and 83,183.63

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Solution

The third proportional to 54,372.38 and 83,183.63 is: 127,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,372.38 : 83,183.63 = 83,183.63 : x
  2. Step 2: Convert to fraction form
    54,372.38/83,183.63 = 83,183.63/x
  3. Step 3: Cross multiply
    54,372.38x = 83,183.63 × 83,183.63
  4. Step 4: Simplify right side
    54,372.38x = 6,919,515,468.14
  5. Step 5: Solve for x
    x = 6,919,515,468.14/54,372.38
  6. Step 6: Final answer
    x = 127,261.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.