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Finding the Third Proportional to 106,453.50 and 166,994.25

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Solution

The third proportional to 106,453.50 and 166,994.25 is: 261,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,453.50 : 166,994.25 = 166,994.25 : x
  2. Step 2: Convert to fraction form
    106,453.50/166,994.25 = 166,994.25/x
  3. Step 3: Cross multiply
    106,453.50x = 166,994.25 × 166,994.25
  4. Step 4: Simplify right side
    106,453.50x = 27,887,079,533.06
  5. Step 5: Solve for x
    x = 27,887,079,533.06/106,453.50
  6. Step 6: Final answer
    x = 261,964.89

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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.