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Finding the Third Proportional to 101,769.75 and 155,297.25

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Solution

The third proportional to 101,769.75 and 155,297.25 is: 236,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769.75 : 155,297.25 = 155,297.25 : x
  2. Step 2: Convert to fraction form
    101,769.75/155,297.25 = 155,297.25/x
  3. Step 3: Cross multiply
    101,769.75x = 155,297.25 × 155,297.25
  4. Step 4: Simplify right side
    101,769.75x = 24,117,235,857.56
  5. Step 5: Solve for x
    x = 24,117,235,857.56/101,769.75
  6. Step 6: Final answer
    x = 236,978.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.