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Finding the Third Proportional to 79,149.94 and 166,501.13

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Solution

The third proportional to 79,149.94 and 166,501.13 is: 350,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,149.94 : 166,501.13 = 166,501.13 : x
  2. Step 2: Convert to fraction form
    79,149.94/166,501.13 = 166,501.13/x
  3. Step 3: Cross multiply
    79,149.94x = 166,501.13 × 166,501.13
  4. Step 4: Simplify right side
    79,149.94x = 27,722,624,626.27
  5. Step 5: Solve for x
    x = 27,722,624,626.27/79,149.94
  6. Step 6: Final answer
    x = 350,254.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.