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Finding the Third Proportional to 128,107 and 204,652

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Solution

The third proportional to 128,107 and 204,652 is: 326,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,107 : 204,652 = 204,652 : x
  2. Step 2: Convert to fraction form
    128,107/204,652 = 204,652/x
  3. Step 3: Cross multiply
    128,107x = 204,652 × 204,652
  4. Step 4: Simplify right side
    128,107x = 41,882,441,104
  5. Step 5: Solve for x
    x = 41,882,441,104/128,107
  6. Step 6: Final answer
    x = 326,933.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.