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Finding the Third Proportional to 42,286 and 92,942

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Solution

The third proportional to 42,286 and 92,942 is: 204,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,286 : 92,942 = 92,942 : x
  2. Step 2: Convert to fraction form
    42,286/92,942 = 92,942/x
  3. Step 3: Cross multiply
    42,286x = 92,942 × 92,942
  4. Step 4: Simplify right side
    42,286x = 8,638,215,364
  5. Step 5: Solve for x
    x = 8,638,215,364/42,286
  6. Step 6: Final answer
    x = 204,280.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.