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Finding the Third Proportional to 102,016 and 146,920

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Solution

The third proportional to 102,016 and 146,920 is: 211,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016 : 146,920 = 146,920 : x
  2. Step 2: Convert to fraction form
    102,016/146,920 = 146,920/x
  3. Step 3: Cross multiply
    102,016x = 146,920 × 146,920
  4. Step 4: Simplify right side
    102,016x = 21,585,486,400
  5. Step 5: Solve for x
    x = 21,585,486,400/102,016
  6. Step 6: Final answer
    x = 211,589.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.