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Finding the Third Proportional to 54,422 and 118,052

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Solution

The third proportional to 54,422 and 118,052 is: 256,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,422 : 118,052 = 118,052 : x
  2. Step 2: Convert to fraction form
    54,422/118,052 = 118,052/x
  3. Step 3: Cross multiply
    54,422x = 118,052 × 118,052
  4. Step 4: Simplify right side
    54,422x = 13,936,274,704
  5. Step 5: Solve for x
    x = 13,936,274,704/54,422
  6. Step 6: Final answer
    x = 256,077.96

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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.