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Finding the Third Proportional to 54,814 and 119,773

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Solution

The third proportional to 54,814 and 119,773 is: 261,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,814 : 119,773 = 119,773 : x
  2. Step 2: Convert to fraction form
    54,814/119,773 = 119,773/x
  3. Step 3: Cross multiply
    54,814x = 119,773 × 119,773
  4. Step 4: Simplify right side
    54,814x = 14,345,571,529
  5. Step 5: Solve for x
    x = 14,345,571,529/54,814
  6. Step 6: Final answer
    x = 261,713.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.