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Finding the Third Proportional to 75,765 and 159,357

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Solution

The third proportional to 75,765 and 159,357 is: 335,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,765 : 159,357 = 159,357 : x
  2. Step 2: Convert to fraction form
    75,765/159,357 = 159,357/x
  3. Step 3: Cross multiply
    75,765x = 159,357 × 159,357
  4. Step 4: Simplify right side
    75,765x = 25,394,653,449
  5. Step 5: Solve for x
    x = 25,394,653,449/75,765
  6. Step 6: Final answer
    x = 335,176.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.