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Finding the Third Proportional to 54,362 and 116,660

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Solution

The third proportional to 54,362 and 116,660 is: 250,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,362 : 116,660 = 116,660 : x
  2. Step 2: Convert to fraction form
    54,362/116,660 = 116,660/x
  3. Step 3: Cross multiply
    54,362x = 116,660 × 116,660
  4. Step 4: Simplify right side
    54,362x = 13,609,555,600
  5. Step 5: Solve for x
    x = 13,609,555,600/54,362
  6. Step 6: Final answer
    x = 250,350.53

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