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Finding the Third Proportional to 75,474 and 170,413

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Solution

The third proportional to 75,474 and 170,413 is: 384,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,474 : 170,413 = 170,413 : x
  2. Step 2: Convert to fraction form
    75,474/170,413 = 170,413/x
  3. Step 3: Cross multiply
    75,474x = 170,413 × 170,413
  4. Step 4: Simplify right side
    75,474x = 29,040,590,569
  5. Step 5: Solve for x
    x = 29,040,590,569/75,474
  6. Step 6: Final answer
    x = 384,776.09

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.