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Finding the Third Proportional to 79,131 and 172,950

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Solution

The third proportional to 79,131 and 172,950 is: 378,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,131 : 172,950 = 172,950 : x
  2. Step 2: Convert to fraction form
    79,131/172,950 = 172,950/x
  3. Step 3: Cross multiply
    79,131x = 172,950 × 172,950
  4. Step 4: Simplify right side
    79,131x = 29,911,702,500
  5. Step 5: Solve for x
    x = 29,911,702,500/79,131
  6. Step 6: Final answer
    x = 378,002.33

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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.