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Finding the Third Proportional to 106,000 and 159,000

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Solution

The third proportional to 106,000 and 159,000 is: 238,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,000 : 159,000 = 159,000 : x
  2. Step 2: Convert to fraction form
    106,000/159,000 = 159,000/x
  3. Step 3: Cross multiply
    106,000x = 159,000 × 159,000
  4. Step 4: Simplify right side
    106,000x = 25,281,000,000
  5. Step 5: Solve for x
    x = 25,281,000,000/106,000
  6. Step 6: Final answer
    x = 238,500

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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.