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Finding the Third Proportional to 72,728 and 154,244

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Solution

The third proportional to 72,728 and 154,244 is: 327,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,728 : 154,244 = 154,244 : x
  2. Step 2: Convert to fraction form
    72,728/154,244 = 154,244/x
  3. Step 3: Cross multiply
    72,728x = 154,244 × 154,244
  4. Step 4: Simplify right side
    72,728x = 23,791,211,536
  5. Step 5: Solve for x
    x = 23,791,211,536/72,728
  6. Step 6: Final answer
    x = 327,125.89

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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.