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Finding the Third Proportional to 106,299 and 166,765.50

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Solution

The third proportional to 106,299 and 166,765.50 is: 261,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,299 : 166,765.50 = 166,765.50 : x
  2. Step 2: Convert to fraction form
    106,299/166,765.50 = 166,765.50/x
  3. Step 3: Cross multiply
    106,299x = 166,765.50 × 166,765.50
  4. Step 4: Simplify right side
    106,299x = 27,810,731,990.25
  5. Step 5: Solve for x
    x = 27,810,731,990.25/106,299
  6. Step 6: Final answer
    x = 261,627.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.