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Finding the Third Proportional to 71,014.50 and 154,741

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Solution

The third proportional to 71,014.50 and 154,741 is: 337,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,014.50 : 154,741 = 154,741 : x
  2. Step 2: Convert to fraction form
    71,014.50/154,741 = 154,741/x
  3. Step 3: Cross multiply
    71,014.50x = 154,741 × 154,741
  4. Step 4: Simplify right side
    71,014.50x = 23,944,777,081
  5. Step 5: Solve for x
    x = 23,944,777,081/71,014.50
  6. Step 6: Final answer
    x = 337,181.52

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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.