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Finding the Third Proportional to 52,092 and 73,756

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Solution

The third proportional to 52,092 and 73,756 is: 104,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092 : 73,756 = 73,756 : x
  2. Step 2: Convert to fraction form
    52,092/73,756 = 73,756/x
  3. Step 3: Cross multiply
    52,092x = 73,756 × 73,756
  4. Step 4: Simplify right side
    52,092x = 5,439,947,536
  5. Step 5: Solve for x
    x = 5,439,947,536/52,092
  6. Step 6: Final answer
    x = 104,429.62

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.