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Finding the Third Proportional to 71,900 and 154,208

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Solution

The third proportional to 71,900 and 154,208 is: 330,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,900 : 154,208 = 154,208 : x
  2. Step 2: Convert to fraction form
    71,900/154,208 = 154,208/x
  3. Step 3: Cross multiply
    71,900x = 154,208 × 154,208
  4. Step 4: Simplify right side
    71,900x = 23,780,107,264
  5. Step 5: Solve for x
    x = 23,780,107,264/71,900
  6. Step 6: Final answer
    x = 330,738.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.