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Finding the Third Proportional to 79,302 and 171,672

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Solution

The third proportional to 79,302 and 171,672 is: 371,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,302 : 171,672 = 171,672 : x
  2. Step 2: Convert to fraction form
    79,302/171,672 = 171,672/x
  3. Step 3: Cross multiply
    79,302x = 171,672 × 171,672
  4. Step 4: Simplify right side
    79,302x = 29,471,275,584
  5. Step 5: Solve for x
    x = 29,471,275,584/79,302
  6. Step 6: Final answer
    x = 371,633.45

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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.