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Finding the Third Proportional to 57,750 and 125,946

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Solution

The third proportional to 57,750 and 125,946 is: 274,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,750 : 125,946 = 125,946 : x
  2. Step 2: Convert to fraction form
    57,750/125,946 = 125,946/x
  3. Step 3: Cross multiply
    57,750x = 125,946 × 125,946
  4. Step 4: Simplify right side
    57,750x = 15,862,394,916
  5. Step 5: Solve for x
    x = 15,862,394,916/57,750
  6. Step 6: Final answer
    x = 274,673.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.