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Finding the Third Proportional to 79,643 and 171,093

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Solution

The third proportional to 79,643 and 171,093 is: 367,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,643 : 171,093 = 171,093 : x
  2. Step 2: Convert to fraction form
    79,643/171,093 = 171,093/x
  3. Step 3: Cross multiply
    79,643x = 171,093 × 171,093
  4. Step 4: Simplify right side
    79,643x = 29,272,814,649
  5. Step 5: Solve for x
    x = 29,272,814,649/79,643
  6. Step 6: Final answer
    x = 367,550.38

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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.