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Finding the Third Proportional to 57,863 and 86,958

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Solution

The third proportional to 57,863 and 86,958 is: 130,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,863 : 86,958 = 86,958 : x
  2. Step 2: Convert to fraction form
    57,863/86,958 = 86,958/x
  3. Step 3: Cross multiply
    57,863x = 86,958 × 86,958
  4. Step 4: Simplify right side
    57,863x = 7,561,693,764
  5. Step 5: Solve for x
    x = 7,561,693,764/57,863
  6. Step 6: Final answer
    x = 130,682.71

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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.