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Finding the Third Proportional to 95,434 and 203,156

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Solution

The third proportional to 95,434 and 203,156 is: 432,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,434 : 203,156 = 203,156 : x
  2. Step 2: Convert to fraction form
    95,434/203,156 = 203,156/x
  3. Step 3: Cross multiply
    95,434x = 203,156 × 203,156
  4. Step 4: Simplify right side
    95,434x = 41,272,360,336
  5. Step 5: Solve for x
    x = 41,272,360,336/95,434
  6. Step 6: Final answer
    x = 432,470.19

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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.