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Finding the Third Proportional to 53,968 and 80,397

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Solution

The third proportional to 53,968 and 80,397 is: 119,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968 : 80,397 = 80,397 : x
  2. Step 2: Convert to fraction form
    53,968/80,397 = 80,397/x
  3. Step 3: Cross multiply
    53,968x = 80,397 × 80,397
  4. Step 4: Simplify right side
    53,968x = 6,463,677,609
  5. Step 5: Solve for x
    x = 6,463,677,609/53,968
  6. Step 6: Final answer
    x = 119,768.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.