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Finding the Third Proportional to 54,570 and 118,995

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Solution

The third proportional to 54,570 and 118,995 is: 259,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,570 : 118,995 = 118,995 : x
  2. Step 2: Convert to fraction form
    54,570/118,995 = 118,995/x
  3. Step 3: Cross multiply
    54,570x = 118,995 × 118,995
  4. Step 4: Simplify right side
    54,570x = 14,159,810,025
  5. Step 5: Solve for x
    x = 14,159,810,025/54,570
  6. Step 6: Final answer
    x = 259,479.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.