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Finding the Third Proportional to 106,867 and 166,770

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Solution

The third proportional to 106,867 and 166,770 is: 260,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,867 : 166,770 = 166,770 : x
  2. Step 2: Convert to fraction form
    106,867/166,770 = 166,770/x
  3. Step 3: Cross multiply
    106,867x = 166,770 × 166,770
  4. Step 4: Simplify right side
    106,867x = 27,812,232,900
  5. Step 5: Solve for x
    x = 27,812,232,900/106,867
  6. Step 6: Final answer
    x = 260,250.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.