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Finding the Third Proportional to 48,728 and 104,975.50

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Solution

The third proportional to 48,728 and 104,975.50 is: 226,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,728 : 104,975.50 = 104,975.50 : x
  2. Step 2: Convert to fraction form
    48,728/104,975.50 = 104,975.50/x
  3. Step 3: Cross multiply
    48,728x = 104,975.50 × 104,975.50
  4. Step 4: Simplify right side
    48,728x = 11,019,855,600.25
  5. Step 5: Solve for x
    x = 11,019,855,600.25/48,728
  6. Step 6: Final answer
    x = 226,150.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.