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Finding the Third Proportional to 66,851.25 and 100,290.75

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Solution

The third proportional to 66,851.25 and 100,290.75 is: 150,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,851.25 : 100,290.75 = 100,290.75 : x
  2. Step 2: Convert to fraction form
    66,851.25/100,290.75 = 100,290.75/x
  3. Step 3: Cross multiply
    66,851.25x = 100,290.75 × 100,290.75
  4. Step 4: Simplify right side
    66,851.25x = 10,058,234,535.56
  5. Step 5: Solve for x
    x = 10,058,234,535.56/66,851.25
  6. Step 6: Final answer
    x = 150,456.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.