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Finding the Third Proportional to 106,443 and 159,680

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Solution

The third proportional to 106,443 and 159,680 is: 239,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,443 : 159,680 = 159,680 : x
  2. Step 2: Convert to fraction form
    106,443/159,680 = 159,680/x
  3. Step 3: Cross multiply
    106,443x = 159,680 × 159,680
  4. Step 4: Simplify right side
    106,443x = 25,497,702,400
  5. Step 5: Solve for x
    x = 25,497,702,400/106,443
  6. Step 6: Final answer
    x = 239,543.25

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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.