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Finding the Third Proportional to 79,696 and 174,912

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Solution

The third proportional to 79,696 and 174,912 is: 383,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,696 : 174,912 = 174,912 : x
  2. Step 2: Convert to fraction form
    79,696/174,912 = 174,912/x
  3. Step 3: Cross multiply
    79,696x = 174,912 × 174,912
  4. Step 4: Simplify right side
    79,696x = 30,594,207,744
  5. Step 5: Solve for x
    x = 30,594,207,744/79,696
  6. Step 6: Final answer
    x = 383,886.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.