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Finding the Third Proportional to 34,156 and 50,932

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Solution

The third proportional to 34,156 and 50,932 is: 75,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156 : 50,932 = 50,932 : x
  2. Step 2: Convert to fraction form
    34,156/50,932 = 50,932/x
  3. Step 3: Cross multiply
    34,156x = 50,932 × 50,932
  4. Step 4: Simplify right side
    34,156x = 2,594,068,624
  5. Step 5: Solve for x
    x = 2,594,068,624/34,156
  6. Step 6: Final answer
    x = 75,947.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.