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Finding the Third Proportional to 79,425 and 171,054

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Solution

The third proportional to 79,425 and 171,054 is: 368,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,425 : 171,054 = 171,054 : x
  2. Step 2: Convert to fraction form
    79,425/171,054 = 171,054/x
  3. Step 3: Cross multiply
    79,425x = 171,054 × 171,054
  4. Step 4: Simplify right side
    79,425x = 29,259,470,916
  5. Step 5: Solve for x
    x = 29,259,470,916/79,425
  6. Step 6: Final answer
    x = 368,391.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.