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Finding the Third Proportional to 75,357 and 158,469.75

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Solution

The third proportional to 75,357 and 158,469.75 is: 333,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,357 : 158,469.75 = 158,469.75 : x
  2. Step 2: Convert to fraction form
    75,357/158,469.75 = 158,469.75/x
  3. Step 3: Cross multiply
    75,357x = 158,469.75 × 158,469.75
  4. Step 4: Simplify right side
    75,357x = 25,112,661,665.06
  5. Step 5: Solve for x
    x = 25,112,661,665.06/75,357
  6. Step 6: Final answer
    x = 333,249.22

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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.