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Finding the Third Proportional to 42,882 and 92,676

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Solution

The third proportional to 42,882 and 92,676 is: 200,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,882 : 92,676 = 92,676 : x
  2. Step 2: Convert to fraction form
    42,882/92,676 = 92,676/x
  3. Step 3: Cross multiply
    42,882x = 92,676 × 92,676
  4. Step 4: Simplify right side
    42,882x = 8,588,840,976
  5. Step 5: Solve for x
    x = 8,588,840,976/42,882
  6. Step 6: Final answer
    x = 200,290.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.