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Finding the Third Proportional to 101,193.25 and 146,193.75

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Solution

The third proportional to 101,193.25 and 146,193.75 is: 211,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,193.25 : 146,193.75 = 146,193.75 : x
  2. Step 2: Convert to fraction form
    101,193.25/146,193.75 = 146,193.75/x
  3. Step 3: Cross multiply
    101,193.25x = 146,193.75 × 146,193.75
  4. Step 4: Simplify right side
    101,193.25x = 21,372,612,539.06
  5. Step 5: Solve for x
    x = 21,372,612,539.06/101,193.25
  6. Step 6: Final answer
    x = 211,205.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.