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Finding the Third Proportional to 106,651 and 159,813

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Solution

The third proportional to 106,651 and 159,813 is: 239,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,651 : 159,813 = 159,813 : x
  2. Step 2: Convert to fraction form
    106,651/159,813 = 159,813/x
  3. Step 3: Cross multiply
    106,651x = 159,813 × 159,813
  4. Step 4: Simplify right side
    106,651x = 25,540,194,969
  5. Step 5: Solve for x
    x = 25,540,194,969/106,651
  6. Step 6: Final answer
    x = 239,474.50

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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.