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Finding the Third Proportional to 54,614.25 and 118,584

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Solution

The third proportional to 54,614.25 and 118,584 is: 257,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,614.25 : 118,584 = 118,584 : x
  2. Step 2: Convert to fraction form
    54,614.25/118,584 = 118,584/x
  3. Step 3: Cross multiply
    54,614.25x = 118,584 × 118,584
  4. Step 4: Simplify right side
    54,614.25x = 14,062,165,056
  5. Step 5: Solve for x
    x = 14,062,165,056/54,614.25
  6. Step 6: Final answer
    x = 257,481.61

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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.