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Finding the Third Proportional to 75,380 and 158,512

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Solution

The third proportional to 75,380 and 158,512 is: 333,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,380 : 158,512 = 158,512 : x
  2. Step 2: Convert to fraction form
    75,380/158,512 = 158,512/x
  3. Step 3: Cross multiply
    75,380x = 158,512 × 158,512
  4. Step 4: Simplify right side
    75,380x = 25,126,054,144
  5. Step 5: Solve for x
    x = 25,126,054,144/75,380
  6. Step 6: Final answer
    x = 333,325.21

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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.