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Finding the Third Proportional to 48,976 and 106,096

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Solution

The third proportional to 48,976 and 106,096 is: 229,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,976 : 106,096 = 106,096 : x
  2. Step 2: Convert to fraction form
    48,976/106,096 = 106,096/x
  3. Step 3: Cross multiply
    48,976x = 106,096 × 106,096
  4. Step 4: Simplify right side
    48,976x = 11,256,361,216
  5. Step 5: Solve for x
    x = 11,256,361,216/48,976
  6. Step 6: Final answer
    x = 229,834.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.