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Finding the Third Proportional to 42,728 and 91,016

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Solution

The third proportional to 42,728 and 91,016 is: 193,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,728 : 91,016 = 91,016 : x
  2. Step 2: Convert to fraction form
    42,728/91,016 = 91,016/x
  3. Step 3: Cross multiply
    42,728x = 91,016 × 91,016
  4. Step 4: Simplify right side
    42,728x = 8,283,912,256
  5. Step 5: Solve for x
    x = 8,283,912,256/42,728
  6. Step 6: Final answer
    x = 193,875.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.