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Finding the Third Proportional to 54,189 and 118,584

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Solution

The third proportional to 54,189 and 118,584 is: 259,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,189 : 118,584 = 118,584 : x
  2. Step 2: Convert to fraction form
    54,189/118,584 = 118,584/x
  3. Step 3: Cross multiply
    54,189x = 118,584 × 118,584
  4. Step 4: Simplify right side
    54,189x = 14,062,165,056
  5. Step 5: Solve for x
    x = 14,062,165,056/54,189
  6. Step 6: Final answer
    x = 259,502.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.