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Finding the Third Proportional to 95,310 and 203,526

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Solution

The third proportional to 95,310 and 203,526 is: 434,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,310 : 203,526 = 203,526 : x
  2. Step 2: Convert to fraction form
    95,310/203,526 = 203,526/x
  3. Step 3: Cross multiply
    95,310x = 203,526 × 203,526
  4. Step 4: Simplify right side
    95,310x = 41,422,832,676
  5. Step 5: Solve for x
    x = 41,422,832,676/95,310
  6. Step 6: Final answer
    x = 434,611.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.