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Finding the Third Proportional to 54,702 and 118,741

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Solution

The third proportional to 54,702 and 118,741 is: 257,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702 : 118,741 = 118,741 : x
  2. Step 2: Convert to fraction form
    54,702/118,741 = 118,741/x
  3. Step 3: Cross multiply
    54,702x = 118,741 × 118,741
  4. Step 4: Simplify right side
    54,702x = 14,099,425,081
  5. Step 5: Solve for x
    x = 14,099,425,081/54,702
  6. Step 6: Final answer
    x = 257,749.72

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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.