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Finding the Third Proportional to 42,171 and 92,017

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Solution

The third proportional to 42,171 and 92,017 is: 200,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,171 : 92,017 = 92,017 : x
  2. Step 2: Convert to fraction form
    42,171/92,017 = 92,017/x
  3. Step 3: Cross multiply
    42,171x = 92,017 × 92,017
  4. Step 4: Simplify right side
    42,171x = 8,467,128,289
  5. Step 5: Solve for x
    x = 8,467,128,289/42,171
  6. Step 6: Final answer
    x = 200,780.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.