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Finding the Third Proportional to 52,804 and 71,734

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Solution

The third proportional to 52,804 and 71,734 is: 97,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,804 : 71,734 = 71,734 : x
  2. Step 2: Convert to fraction form
    52,804/71,734 = 71,734/x
  3. Step 3: Cross multiply
    52,804x = 71,734 × 71,734
  4. Step 4: Simplify right side
    52,804x = 5,145,766,756
  5. Step 5: Solve for x
    x = 5,145,766,756/52,804
  6. Step 6: Final answer
    x = 97,450.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.