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Finding the Third Proportional to 79,828 and 173,871

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Solution

The third proportional to 79,828 and 173,871 is: 378,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,828 : 173,871 = 173,871 : x
  2. Step 2: Convert to fraction form
    79,828/173,871 = 173,871/x
  3. Step 3: Cross multiply
    79,828x = 173,871 × 173,871
  4. Step 4: Simplify right side
    79,828x = 30,231,124,641
  5. Step 5: Solve for x
    x = 30,231,124,641/79,828
  6. Step 6: Final answer
    x = 378,703.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.