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Finding the Third Proportional to 50,872 and 77,172

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Solution

The third proportional to 50,872 and 77,172 is: 117,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,872 : 77,172 = 77,172 : x
  2. Step 2: Convert to fraction form
    50,872/77,172 = 77,172/x
  3. Step 3: Cross multiply
    50,872x = 77,172 × 77,172
  4. Step 4: Simplify right side
    50,872x = 5,955,517,584
  5. Step 5: Solve for x
    x = 5,955,517,584/50,872
  6. Step 6: Final answer
    x = 117,068.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.