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Finding the Third Proportional to 57,162 and 87,686

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Solution

The third proportional to 57,162 and 87,686 is: 134,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,162 : 87,686 = 87,686 : x
  2. Step 2: Convert to fraction form
    57,162/87,686 = 87,686/x
  3. Step 3: Cross multiply
    57,162x = 87,686 × 87,686
  4. Step 4: Simplify right side
    57,162x = 7,688,834,596
  5. Step 5: Solve for x
    x = 7,688,834,596/57,162
  6. Step 6: Final answer
    x = 134,509.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.