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Finding the Third Proportional to 57,797 and 124,900

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Solution

The third proportional to 57,797 and 124,900 is: 269,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,797 : 124,900 = 124,900 : x
  2. Step 2: Convert to fraction form
    57,797/124,900 = 124,900/x
  3. Step 3: Cross multiply
    57,797x = 124,900 × 124,900
  4. Step 4: Simplify right side
    57,797x = 15,600,010,000
  5. Step 5: Solve for x
    x = 15,600,010,000/57,797
  6. Step 6: Final answer
    x = 269,910.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.