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Finding the Third Proportional to 39,171 and 92,451

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Solution

The third proportional to 39,171 and 92,451 is: 218,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,171 : 92,451 = 92,451 : x
  2. Step 2: Convert to fraction form
    39,171/92,451 = 92,451/x
  3. Step 3: Cross multiply
    39,171x = 92,451 × 92,451
  4. Step 4: Simplify right side
    39,171x = 8,547,187,401
  5. Step 5: Solve for x
    x = 8,547,187,401/39,171
  6. Step 6: Final answer
    x = 218,201.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.