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Finding the Third Proportional to 128,519 and 192,021

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Solution

The third proportional to 128,519 and 192,021 is: 286,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,519 : 192,021 = 192,021 : x
  2. Step 2: Convert to fraction form
    128,519/192,021 = 192,021/x
  3. Step 3: Cross multiply
    128,519x = 192,021 × 192,021
  4. Step 4: Simplify right side
    128,519x = 36,872,064,441
  5. Step 5: Solve for x
    x = 36,872,064,441/128,519
  6. Step 6: Final answer
    x = 286,899.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.