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Finding the Third Proportional to 79,234.50 and 165,057

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Solution

The third proportional to 79,234.50 and 165,057 is: 343,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,234.50 : 165,057 = 165,057 : x
  2. Step 2: Convert to fraction form
    79,234.50/165,057 = 165,057/x
  3. Step 3: Cross multiply
    79,234.50x = 165,057 × 165,057
  4. Step 4: Simplify right side
    79,234.50x = 27,243,813,249
  5. Step 5: Solve for x
    x = 27,243,813,249/79,234.50
  6. Step 6: Final answer
    x = 343,837.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.