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Finding the Third Proportional to 106,002 and 159,003

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Solution

The third proportional to 106,002 and 159,003 is: 238,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,002 : 159,003 = 159,003 : x
  2. Step 2: Convert to fraction form
    106,002/159,003 = 159,003/x
  3. Step 3: Cross multiply
    106,002x = 159,003 × 159,003
  4. Step 4: Simplify right side
    106,002x = 25,281,954,009
  5. Step 5: Solve for x
    x = 25,281,954,009/106,002
  6. Step 6: Final answer
    x = 238,504.50

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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.