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Finding the Third Proportional to 79,538 and 171,265

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Solution

The third proportional to 79,538 and 171,265 is: 368,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,538 : 171,265 = 171,265 : x
  2. Step 2: Convert to fraction form
    79,538/171,265 = 171,265/x
  3. Step 3: Cross multiply
    79,538x = 171,265 × 171,265
  4. Step 4: Simplify right side
    79,538x = 29,331,700,225
  5. Step 5: Solve for x
    x = 29,331,700,225/79,538
  6. Step 6: Final answer
    x = 368,775.93

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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.