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Finding the Third Proportional to 57,867 and 86,964

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Solution

The third proportional to 57,867 and 86,964 is: 130,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,867 : 86,964 = 86,964 : x
  2. Step 2: Convert to fraction form
    57,867/86,964 = 86,964/x
  3. Step 3: Cross multiply
    57,867x = 86,964 × 86,964
  4. Step 4: Simplify right side
    57,867x = 7,562,737,296
  5. Step 5: Solve for x
    x = 7,562,737,296/57,867
  6. Step 6: Final answer
    x = 130,691.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.