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Finding the Third Proportional to 79,850 and 173,878

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Solution

The third proportional to 79,850 and 173,878 is: 378,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,850 : 173,878 = 173,878 : x
  2. Step 2: Convert to fraction form
    79,850/173,878 = 173,878/x
  3. Step 3: Cross multiply
    79,850x = 173,878 × 173,878
  4. Step 4: Simplify right side
    79,850x = 30,233,558,884
  5. Step 5: Solve for x
    x = 30,233,558,884/79,850
  6. Step 6: Final answer
    x = 378,629.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.