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Finding the Third Proportional to 42,198 and 92,172

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Solution

The third proportional to 42,198 and 92,172 is: 201,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,198 : 92,172 = 92,172 : x
  2. Step 2: Convert to fraction form
    42,198/92,172 = 92,172/x
  3. Step 3: Cross multiply
    42,198x = 92,172 × 92,172
  4. Step 4: Simplify right side
    42,198x = 8,495,677,584
  5. Step 5: Solve for x
    x = 8,495,677,584/42,198
  6. Step 6: Final answer
    x = 201,328.92

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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.