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Finding the Third Proportional to 106,456.50 and 166,999

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Solution

The third proportional to 106,456.50 and 166,999 is: 261,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456.50 : 166,999 = 166,999 : x
  2. Step 2: Convert to fraction form
    106,456.50/166,999 = 166,999/x
  3. Step 3: Cross multiply
    106,456.50x = 166,999 × 166,999
  4. Step 4: Simplify right side
    106,456.50x = 27,888,666,001
  5. Step 5: Solve for x
    x = 27,888,666,001/106,456.50
  6. Step 6: Final answer
    x = 261,972.41

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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.