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Finding the Third Proportional to 111,920 and 168,958

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Solution

The third proportional to 111,920 and 168,958 is: 255,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,920 : 168,958 = 168,958 : x
  2. Step 2: Convert to fraction form
    111,920/168,958 = 168,958/x
  3. Step 3: Cross multiply
    111,920x = 168,958 × 168,958
  4. Step 4: Simplify right side
    111,920x = 28,546,805,764
  5. Step 5: Solve for x
    x = 28,546,805,764/111,920
  6. Step 6: Final answer
    x = 255,064.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.