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Finding the Third Proportional to 54,738 and 116,538.75

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Solution

The third proportional to 54,738 and 116,538.75 is: 248,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738 : 116,538.75 = 116,538.75 : x
  2. Step 2: Convert to fraction form
    54,738/116,538.75 = 116,538.75/x
  3. Step 3: Cross multiply
    54,738x = 116,538.75 × 116,538.75
  4. Step 4: Simplify right side
    54,738x = 13,581,280,251.56
  5. Step 5: Solve for x
    x = 13,581,280,251.56/54,738
  6. Step 6: Final answer
    x = 248,114.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.