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Finding the Third Proportional to 118,942 and 163,096

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Solution

The third proportional to 118,942 and 163,096 is: 223,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,942 : 163,096 = 163,096 : x
  2. Step 2: Convert to fraction form
    118,942/163,096 = 163,096/x
  3. Step 3: Cross multiply
    118,942x = 163,096 × 163,096
  4. Step 4: Simplify right side
    118,942x = 26,600,305,216
  5. Step 5: Solve for x
    x = 26,600,305,216/118,942
  6. Step 6: Final answer
    x = 223,640.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.