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Finding the Third Proportional to 57,450 and 121,524

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Solution

The third proportional to 57,450 and 121,524 is: 257,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,450 : 121,524 = 121,524 : x
  2. Step 2: Convert to fraction form
    57,450/121,524 = 121,524/x
  3. Step 3: Cross multiply
    57,450x = 121,524 × 121,524
  4. Step 4: Simplify right side
    57,450x = 14,768,082,576
  5. Step 5: Solve for x
    x = 14,768,082,576/57,450
  6. Step 6: Final answer
    x = 257,059.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.