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Finding the Third Proportional to 128,082 and 205,793

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Solution

The third proportional to 128,082 and 205,793 is: 330,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,082 : 205,793 = 205,793 : x
  2. Step 2: Convert to fraction form
    128,082/205,793 = 205,793/x
  3. Step 3: Cross multiply
    128,082x = 205,793 × 205,793
  4. Step 4: Simplify right side
    128,082x = 42,350,758,849
  5. Step 5: Solve for x
    x = 42,350,758,849/128,082
  6. Step 6: Final answer
    x = 330,653.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.