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Finding the Third Proportional to 106,311 and 159,947

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Solution

The third proportional to 106,311 and 159,947 is: 240,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,311 : 159,947 = 159,947 : x
  2. Step 2: Convert to fraction form
    106,311/159,947 = 159,947/x
  3. Step 3: Cross multiply
    106,311x = 159,947 × 159,947
  4. Step 4: Simplify right side
    106,311x = 25,583,042,809
  5. Step 5: Solve for x
    x = 25,583,042,809/106,311
  6. Step 6: Final answer
    x = 240,643.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.