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Finding the Third Proportional to 70,568 and 98,912

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Solution

The third proportional to 70,568 and 98,912 is: 138,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,568 : 98,912 = 98,912 : x
  2. Step 2: Convert to fraction form
    70,568/98,912 = 98,912/x
  3. Step 3: Cross multiply
    70,568x = 98,912 × 98,912
  4. Step 4: Simplify right side
    70,568x = 9,783,583,744
  5. Step 5: Solve for x
    x = 9,783,583,744/70,568
  6. Step 6: Final answer
    x = 138,640.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.