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Finding the Third Proportional to 59,586 and 87,993

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Solution

The third proportional to 59,586 and 87,993 is: 129,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,586 : 87,993 = 87,993 : x
  2. Step 2: Convert to fraction form
    59,586/87,993 = 87,993/x
  3. Step 3: Cross multiply
    59,586x = 87,993 × 87,993
  4. Step 4: Simplify right side
    59,586x = 7,742,768,049
  5. Step 5: Solve for x
    x = 7,742,768,049/59,586
  6. Step 6: Final answer
    x = 129,942.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.