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Finding the Third Proportional to 57,812 and 91,732

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Solution

The third proportional to 57,812 and 91,732 is: 145,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,812 : 91,732 = 91,732 : x
  2. Step 2: Convert to fraction form
    57,812/91,732 = 91,732/x
  3. Step 3: Cross multiply
    57,812x = 91,732 × 91,732
  4. Step 4: Simplify right side
    57,812x = 8,414,759,824
  5. Step 5: Solve for x
    x = 8,414,759,824/57,812
  6. Step 6: Final answer
    x = 145,553.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.