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Finding the Third Proportional to 54,953 and 117,680

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Solution

The third proportional to 54,953 and 117,680 is: 252,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,953 : 117,680 = 117,680 : x
  2. Step 2: Convert to fraction form
    54,953/117,680 = 117,680/x
  3. Step 3: Cross multiply
    54,953x = 117,680 × 117,680
  4. Step 4: Simplify right side
    54,953x = 13,848,582,400
  5. Step 5: Solve for x
    x = 13,848,582,400/54,953
  6. Step 6: Final answer
    x = 252,007.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.