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Finding the Third Proportional to 53,977.78 and 114,183.56

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Solution

The third proportional to 53,977.78 and 114,183.56 is: 241,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,977.78 : 114,183.56 = 114,183.56 : x
  2. Step 2: Convert to fraction form
    53,977.78/114,183.56 = 114,183.56/x
  3. Step 3: Cross multiply
    53,977.78x = 114,183.56 × 114,183.56
  4. Step 4: Simplify right side
    53,977.78x = 13,037,885,945.19
  5. Step 5: Solve for x
    x = 13,037,885,945.19/53,977.78
  6. Step 6: Final answer
    x = 241,541.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.