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Finding the Third Proportional to 79,945 and 173,138

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Solution

The third proportional to 79,945 and 173,138 is: 374,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,945 : 173,138 = 173,138 : x
  2. Step 2: Convert to fraction form
    79,945/173,138 = 173,138/x
  3. Step 3: Cross multiply
    79,945x = 173,138 × 173,138
  4. Step 4: Simplify right side
    79,945x = 29,976,767,044
  5. Step 5: Solve for x
    x = 29,976,767,044/79,945
  6. Step 6: Final answer
    x = 374,967.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.