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Finding the Third Proportional to 42,206 and 92,252

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Solution

The third proportional to 42,206 and 92,252 is: 201,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,206 : 92,252 = 92,252 : x
  2. Step 2: Convert to fraction form
    42,206/92,252 = 92,252/x
  3. Step 3: Cross multiply
    42,206x = 92,252 × 92,252
  4. Step 4: Simplify right side
    42,206x = 8,510,431,504
  5. Step 5: Solve for x
    x = 8,510,431,504/42,206
  6. Step 6: Final answer
    x = 201,640.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.