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Finding the Third Proportional to 79,954 and 185,116

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Solution

The third proportional to 79,954 and 185,116 is: 428,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,954 : 185,116 = 185,116 : x
  2. Step 2: Convert to fraction form
    79,954/185,116 = 185,116/x
  3. Step 3: Cross multiply
    79,954x = 185,116 × 185,116
  4. Step 4: Simplify right side
    79,954x = 34,267,933,456
  5. Step 5: Solve for x
    x = 34,267,933,456/79,954
  6. Step 6: Final answer
    x = 428,595.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.