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Finding the Third Proportional to 118,928 and 163,084

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Solution

The third proportional to 118,928 and 163,084 is: 223,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,928 : 163,084 = 163,084 : x
  2. Step 2: Convert to fraction form
    118,928/163,084 = 163,084/x
  3. Step 3: Cross multiply
    118,928x = 163,084 × 163,084
  4. Step 4: Simplify right side
    118,928x = 26,596,391,056
  5. Step 5: Solve for x
    x = 26,596,391,056/118,928
  6. Step 6: Final answer
    x = 223,634.39

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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.