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Finding the Third Proportional to 79,638.19 and 171,082.13

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Solution

The third proportional to 79,638.19 and 171,082.13 is: 367,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,638.19 : 171,082.13 = 171,082.13 : x
  2. Step 2: Convert to fraction form
    79,638.19/171,082.13 = 171,082.13/x
  3. Step 3: Cross multiply
    79,638.19x = 171,082.13 × 171,082.13
  4. Step 4: Simplify right side
    79,638.19x = 29,269,093,494.52
  5. Step 5: Solve for x
    x = 29,269,093,494.52/79,638.19
  6. Step 6: Final answer
    x = 367,525.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.