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Finding the Third Proportional to 95,442 and 203,524

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Solution

The third proportional to 95,442 and 203,524 is: 434,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,442 : 203,524 = 203,524 : x
  2. Step 2: Convert to fraction form
    95,442/203,524 = 203,524/x
  3. Step 3: Cross multiply
    95,442x = 203,524 × 203,524
  4. Step 4: Simplify right side
    95,442x = 41,422,018,576
  5. Step 5: Solve for x
    x = 41,422,018,576/95,442
  6. Step 6: Final answer
    x = 434,002.00

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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.