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Finding the Third Proportional to 106,452.50 and 166,992.75

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Solution

The third proportional to 106,452.50 and 166,992.75 is: 261,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452.50 : 166,992.75 = 166,992.75 : x
  2. Step 2: Convert to fraction form
    106,452.50/166,992.75 = 166,992.75/x
  3. Step 3: Cross multiply
    106,452.50x = 166,992.75 × 166,992.75
  4. Step 4: Simplify right side
    106,452.50x = 27,886,578,552.56
  5. Step 5: Solve for x
    x = 27,886,578,552.56/106,452.50
  6. Step 6: Final answer
    x = 261,962.65

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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.