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Finding the Third Proportional to 118,108 and 159,116

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Solution

The third proportional to 118,108 and 159,116 is: 214,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,108 : 159,116 = 159,116 : x
  2. Step 2: Convert to fraction form
    118,108/159,116 = 159,116/x
  3. Step 3: Cross multiply
    118,108x = 159,116 × 159,116
  4. Step 4: Simplify right side
    118,108x = 25,317,901,456
  5. Step 5: Solve for x
    x = 25,317,901,456/118,108
  6. Step 6: Final answer
    x = 214,362.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.