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Finding the Third Proportional to 54,760 and 118,815

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Solution

The third proportional to 54,760 and 118,815 is: 257,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,760 : 118,815 = 118,815 : x
  2. Step 2: Convert to fraction form
    54,760/118,815 = 118,815/x
  3. Step 3: Cross multiply
    54,760x = 118,815 × 118,815
  4. Step 4: Simplify right side
    54,760x = 14,117,004,225
  5. Step 5: Solve for x
    x = 14,117,004,225/54,760
  6. Step 6: Final answer
    x = 257,797.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.