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Finding the Third Proportional to 79,948 and 173,144

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Solution

The third proportional to 79,948 and 173,144 is: 374,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,948 : 173,144 = 173,144 : x
  2. Step 2: Convert to fraction form
    79,948/173,144 = 173,144/x
  3. Step 3: Cross multiply
    79,948x = 173,144 × 173,144
  4. Step 4: Simplify right side
    79,948x = 29,978,844,736
  5. Step 5: Solve for x
    x = 29,978,844,736/79,948
  6. Step 6: Final answer
    x = 374,979.30

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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.