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Finding the Third Proportional to 79,968 and 173,760

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Solution

The third proportional to 79,968 and 173,760 is: 377,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,968 : 173,760 = 173,760 : x
  2. Step 2: Convert to fraction form
    79,968/173,760 = 173,760/x
  3. Step 3: Cross multiply
    79,968x = 173,760 × 173,760
  4. Step 4: Simplify right side
    79,968x = 30,192,537,600
  5. Step 5: Solve for x
    x = 30,192,537,600/79,968
  6. Step 6: Final answer
    x = 377,557.74

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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.