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Finding the Third Proportional to 54,738 and 117,846

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Solution

The third proportional to 54,738 and 117,846 is: 253,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738 : 117,846 = 117,846 : x
  2. Step 2: Convert to fraction form
    54,738/117,846 = 117,846/x
  3. Step 3: Cross multiply
    54,738x = 117,846 × 117,846
  4. Step 4: Simplify right side
    54,738x = 13,887,679,716
  5. Step 5: Solve for x
    x = 13,887,679,716/54,738
  6. Step 6: Final answer
    x = 253,711.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.