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Finding the Third Proportional to 56,268 and 87,858

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Solution

The third proportional to 56,268 and 87,858 is: 137,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,268 : 87,858 = 87,858 : x
  2. Step 2: Convert to fraction form
    56,268/87,858 = 87,858/x
  3. Step 3: Cross multiply
    56,268x = 87,858 × 87,858
  4. Step 4: Simplify right side
    56,268x = 7,719,028,164
  5. Step 5: Solve for x
    x = 7,719,028,164/56,268
  6. Step 6: Final answer
    x = 137,183.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.