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Finding the Third Proportional to 72,705 and 154,198

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Solution

The third proportional to 72,705 and 154,198 is: 327,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705 : 154,198 = 154,198 : x
  2. Step 2: Convert to fraction form
    72,705/154,198 = 154,198/x
  3. Step 3: Cross multiply
    72,705x = 154,198 × 154,198
  4. Step 4: Simplify right side
    72,705x = 23,777,023,204
  5. Step 5: Solve for x
    x = 23,777,023,204/72,705
  6. Step 6: Final answer
    x = 327,034.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.