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Finding the Third Proportional to 79,578 and 172,718

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Solution

The third proportional to 79,578 and 172,718 is: 374,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,578 : 172,718 = 172,718 : x
  2. Step 2: Convert to fraction form
    79,578/172,718 = 172,718/x
  3. Step 3: Cross multiply
    79,578x = 172,718 × 172,718
  4. Step 4: Simplify right side
    79,578x = 29,831,507,524
  5. Step 5: Solve for x
    x = 29,831,507,524/79,578
  6. Step 6: Final answer
    x = 374,871.29

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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.