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Finding the Third Proportional to 80,014 and 172,825

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Solution

The third proportional to 80,014 and 172,825 is: 373,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,014 : 172,825 = 172,825 : x
  2. Step 2: Convert to fraction form
    80,014/172,825 = 172,825/x
  3. Step 3: Cross multiply
    80,014x = 172,825 × 172,825
  4. Step 4: Simplify right side
    80,014x = 29,868,480,625
  5. Step 5: Solve for x
    x = 29,868,480,625/80,014
  6. Step 6: Final answer
    x = 373,290.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.