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Finding the Third Proportional to 95,232 and 203,120

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Solution

The third proportional to 95,232 and 203,120 is: 433,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,232 : 203,120 = 203,120 : x
  2. Step 2: Convert to fraction form
    95,232/203,120 = 203,120/x
  3. Step 3: Cross multiply
    95,232x = 203,120 × 203,120
  4. Step 4: Simplify right side
    95,232x = 41,257,734,400
  5. Step 5: Solve for x
    x = 41,257,734,400/95,232
  6. Step 6: Final answer
    x = 433,233.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.