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Finding the Third Proportional to 69,828 and 98,728

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Solution

The third proportional to 69,828 and 98,728 is: 139,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,828 : 98,728 = 98,728 : x
  2. Step 2: Convert to fraction form
    69,828/98,728 = 98,728/x
  3. Step 3: Cross multiply
    69,828x = 98,728 × 98,728
  4. Step 4: Simplify right side
    69,828x = 9,747,217,984
  5. Step 5: Solve for x
    x = 9,747,217,984/69,828
  6. Step 6: Final answer
    x = 139,588.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.