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Finding the Third Proportional to 42,728 and 92,030

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Solution

The third proportional to 42,728 and 92,030 is: 198,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,728 : 92,030 = 92,030 : x
  2. Step 2: Convert to fraction form
    42,728/92,030 = 92,030/x
  3. Step 3: Cross multiply
    42,728x = 92,030 × 92,030
  4. Step 4: Simplify right side
    42,728x = 8,469,520,900
  5. Step 5: Solve for x
    x = 8,469,520,900/42,728
  6. Step 6: Final answer
    x = 198,219.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.