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Finding the Third Proportional to 54,833 and 120,138

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Solution

The third proportional to 54,833 and 120,138 is: 263,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,833 : 120,138 = 120,138 : x
  2. Step 2: Convert to fraction form
    54,833/120,138 = 120,138/x
  3. Step 3: Cross multiply
    54,833x = 120,138 × 120,138
  4. Step 4: Simplify right side
    54,833x = 14,433,139,044
  5. Step 5: Solve for x
    x = 14,433,139,044/54,833
  6. Step 6: Final answer
    x = 263,219.94

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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.