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Finding the Third Proportional to 101,605.78 and 158,224.22

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Solution

The third proportional to 101,605.78 and 158,224.22 is: 246,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,605.78 : 158,224.22 = 158,224.22 : x
  2. Step 2: Convert to fraction form
    101,605.78/158,224.22 = 158,224.22/x
  3. Step 3: Cross multiply
    101,605.78x = 158,224.22 × 158,224.22
  4. Step 4: Simplify right side
    101,605.78x = 25,034,903,399.05
  5. Step 5: Solve for x
    x = 25,034,903,399.05/101,605.78
  6. Step 6: Final answer
    x = 246,392.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.