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Finding the Third Proportional to 80,184 and 122,166

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Solution

The third proportional to 80,184 and 122,166 is: 186,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,184 : 122,166 = 122,166 : x
  2. Step 2: Convert to fraction form
    80,184/122,166 = 122,166/x
  3. Step 3: Cross multiply
    80,184x = 122,166 × 122,166
  4. Step 4: Simplify right side
    80,184x = 14,924,531,556
  5. Step 5: Solve for x
    x = 14,924,531,556/80,184
  6. Step 6: Final answer
    x = 186,128.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.