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Finding the Third Proportional to 51,915 and 111,728

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Solution

The third proportional to 51,915 and 111,728 is: 240,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,915 : 111,728 = 111,728 : x
  2. Step 2: Convert to fraction form
    51,915/111,728 = 111,728/x
  3. Step 3: Cross multiply
    51,915x = 111,728 × 111,728
  4. Step 4: Simplify right side
    51,915x = 12,483,145,984
  5. Step 5: Solve for x
    x = 12,483,145,984/51,915
  6. Step 6: Final answer
    x = 240,453.55

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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.