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Finding the Third Proportional to 79,335 and 171,738

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Solution

The third proportional to 79,335 and 171,738 is: 371,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,335 : 171,738 = 171,738 : x
  2. Step 2: Convert to fraction form
    79,335/171,738 = 171,738/x
  3. Step 3: Cross multiply
    79,335x = 171,738 × 171,738
  4. Step 4: Simplify right side
    79,335x = 29,493,940,644
  5. Step 5: Solve for x
    x = 29,493,940,644/79,335
  6. Step 6: Final answer
    x = 371,764.55

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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.