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Finding the Third Proportional to 25,903 and 57,250

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Solution

The third proportional to 25,903 and 57,250 is: 126,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,903 : 57,250 = 57,250 : x
  2. Step 2: Convert to fraction form
    25,903/57,250 = 57,250/x
  3. Step 3: Cross multiply
    25,903x = 57,250 × 57,250
  4. Step 4: Simplify right side
    25,903x = 3,277,562,500
  5. Step 5: Solve for x
    x = 3,277,562,500/25,903
  6. Step 6: Final answer
    x = 126,532.16

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.