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Finding the Third Proportional to 54,696 and 119,515

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Solution

The third proportional to 54,696 and 119,515 is: 261,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696 : 119,515 = 119,515 : x
  2. Step 2: Convert to fraction form
    54,696/119,515 = 119,515/x
  3. Step 3: Cross multiply
    54,696x = 119,515 × 119,515
  4. Step 4: Simplify right side
    54,696x = 14,283,835,225
  5. Step 5: Solve for x
    x = 14,283,835,225/54,696
  6. Step 6: Final answer
    x = 261,149.54

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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.