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Finding the Third Proportional to 71,476 and 161,166

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Solution

The third proportional to 71,476 and 161,166 is: 363,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,476 : 161,166 = 161,166 : x
  2. Step 2: Convert to fraction form
    71,476/161,166 = 161,166/x
  3. Step 3: Cross multiply
    71,476x = 161,166 × 161,166
  4. Step 4: Simplify right side
    71,476x = 25,974,479,556
  5. Step 5: Solve for x
    x = 25,974,479,556/71,476
  6. Step 6: Final answer
    x = 363,401.42

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.