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Finding the Third Proportional to 25,912 and 57,068

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Solution

The third proportional to 25,912 and 57,068 is: 125,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912 : 57,068 = 57,068 : x
  2. Step 2: Convert to fraction form
    25,912/57,068 = 57,068/x
  3. Step 3: Cross multiply
    25,912x = 57,068 × 57,068
  4. Step 4: Simplify right side
    25,912x = 3,256,756,624
  5. Step 5: Solve for x
    x = 3,256,756,624/25,912
  6. Step 6: Final answer
    x = 125,685.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.