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Finding the Third Proportional to 57,096 and 87,828

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Solution

The third proportional to 57,096 and 87,828 is: 135,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096 : 87,828 = 87,828 : x
  2. Step 2: Convert to fraction form
    57,096/87,828 = 87,828/x
  3. Step 3: Cross multiply
    57,096x = 87,828 × 87,828
  4. Step 4: Simplify right side
    57,096x = 7,713,757,584
  5. Step 5: Solve for x
    x = 7,713,757,584/57,096
  6. Step 6: Final answer
    x = 135,101.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.