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Finding the Third Proportional to 100,684 and 159,954

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Solution

The third proportional to 100,684 and 159,954 is: 254,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684 : 159,954 = 159,954 : x
  2. Step 2: Convert to fraction form
    100,684/159,954 = 159,954/x
  3. Step 3: Cross multiply
    100,684x = 159,954 × 159,954
  4. Step 4: Simplify right side
    100,684x = 25,585,282,116
  5. Step 5: Solve for x
    x = 25,585,282,116/100,684
  6. Step 6: Final answer
    x = 254,114.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.