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Finding the Third Proportional to 57,056 and 125,774

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Solution

The third proportional to 57,056 and 125,774 is: 277,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056 : 125,774 = 125,774 : x
  2. Step 2: Convert to fraction form
    57,056/125,774 = 125,774/x
  3. Step 3: Cross multiply
    57,056x = 125,774 × 125,774
  4. Step 4: Simplify right side
    57,056x = 15,819,099,076
  5. Step 5: Solve for x
    x = 15,819,099,076/57,056
  6. Step 6: Final answer
    x = 277,255.66

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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.