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Finding the Third Proportional to 95,290 and 203,242

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Solution

The third proportional to 95,290 and 203,242 is: 433,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,290 : 203,242 = 203,242 : x
  2. Step 2: Convert to fraction form
    95,290/203,242 = 203,242/x
  3. Step 3: Cross multiply
    95,290x = 203,242 × 203,242
  4. Step 4: Simplify right side
    95,290x = 41,307,310,564
  5. Step 5: Solve for x
    x = 41,307,310,564/95,290
  6. Step 6: Final answer
    x = 433,490.51

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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.