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Finding the Third Proportional to 54,576 and 80,328

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Solution

The third proportional to 54,576 and 80,328 is: 118,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576 : 80,328 = 80,328 : x
  2. Step 2: Convert to fraction form
    54,576/80,328 = 80,328/x
  3. Step 3: Cross multiply
    54,576x = 80,328 × 80,328
  4. Step 4: Simplify right side
    54,576x = 6,452,587,584
  5. Step 5: Solve for x
    x = 6,452,587,584/54,576
  6. Step 6: Final answer
    x = 118,231.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.