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Finding the Third Proportional to 79,033 and 171,182

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Solution

The third proportional to 79,033 and 171,182 is: 370,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,033 : 171,182 = 171,182 : x
  2. Step 2: Convert to fraction form
    79,033/171,182 = 171,182/x
  3. Step 3: Cross multiply
    79,033x = 171,182 × 171,182
  4. Step 4: Simplify right side
    79,033x = 29,303,277,124
  5. Step 5: Solve for x
    x = 29,303,277,124/79,033
  6. Step 6: Final answer
    x = 370,772.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.