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Finding the Third Proportional to 79,671 and 173,391

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Solution

The third proportional to 79,671 and 173,391 is: 377,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,671 : 173,391 = 173,391 : x
  2. Step 2: Convert to fraction form
    79,671/173,391 = 173,391/x
  3. Step 3: Cross multiply
    79,671x = 173,391 × 173,391
  4. Step 4: Simplify right side
    79,671x = 30,064,438,881
  5. Step 5: Solve for x
    x = 30,064,438,881/79,671
  6. Step 6: Final answer
    x = 377,357.37

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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.