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Finding the Third Proportional to 57,372 and 126,056

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Solution

The third proportional to 57,372 and 126,056 is: 276,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,372 : 126,056 = 126,056 : x
  2. Step 2: Convert to fraction form
    57,372/126,056 = 126,056/x
  3. Step 3: Cross multiply
    57,372x = 126,056 × 126,056
  4. Step 4: Simplify right side
    57,372x = 15,890,115,136
  5. Step 5: Solve for x
    x = 15,890,115,136/57,372
  6. Step 6: Final answer
    x = 276,966.38

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Why These Related Problems?

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