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Finding the Third Proportional to 52,867 and 71,764

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Solution

The third proportional to 52,867 and 71,764 is: 97,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,867 : 71,764 = 71,764 : x
  2. Step 2: Convert to fraction form
    52,867/71,764 = 71,764/x
  3. Step 3: Cross multiply
    52,867x = 71,764 × 71,764
  4. Step 4: Simplify right side
    52,867x = 5,150,071,696
  5. Step 5: Solve for x
    x = 5,150,071,696/52,867
  6. Step 6: Final answer
    x = 97,415.62

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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.