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Finding the Third Proportional to 57,102 and 87,837

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Solution

The third proportional to 57,102 and 87,837 is: 135,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102 : 87,837 = 87,837 : x
  2. Step 2: Convert to fraction form
    57,102/87,837 = 87,837/x
  3. Step 3: Cross multiply
    57,102x = 87,837 × 87,837
  4. Step 4: Simplify right side
    57,102x = 7,715,338,569
  5. Step 5: Solve for x
    x = 7,715,338,569/57,102
  6. Step 6: Final answer
    x = 135,115.03

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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.