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Finding the Third Proportional to 75,651 and 162,849

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Solution

The third proportional to 75,651 and 162,849 is: 350,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651 : 162,849 = 162,849 : x
  2. Step 2: Convert to fraction form
    75,651/162,849 = 162,849/x
  3. Step 3: Cross multiply
    75,651x = 162,849 × 162,849
  4. Step 4: Simplify right side
    75,651x = 26,519,796,801
  5. Step 5: Solve for x
    x = 26,519,796,801/75,651
  6. Step 6: Final answer
    x = 350,554.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.