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Finding the Third Proportional to 75,180 and 162,456

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Solution

The third proportional to 75,180 and 162,456 is: 351,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,180 : 162,456 = 162,456 : x
  2. Step 2: Convert to fraction form
    75,180/162,456 = 162,456/x
  3. Step 3: Cross multiply
    75,180x = 162,456 × 162,456
  4. Step 4: Simplify right side
    75,180x = 26,391,951,936
  5. Step 5: Solve for x
    x = 26,391,951,936/75,180
  6. Step 6: Final answer
    x = 351,050.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.