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Finding the Third Proportional to 79,144 and 186,828

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Solution

The third proportional to 79,144 and 186,828 is: 441,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,144 : 186,828 = 186,828 : x
  2. Step 2: Convert to fraction form
    79,144/186,828 = 186,828/x
  3. Step 3: Cross multiply
    79,144x = 186,828 × 186,828
  4. Step 4: Simplify right side
    79,144x = 34,904,701,584
  5. Step 5: Solve for x
    x = 34,904,701,584/79,144
  6. Step 6: Final answer
    x = 441,027.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.