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Finding the Third Proportional to 57,532 and 119,059

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Solution

The third proportional to 57,532 and 119,059 is: 246,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,532 : 119,059 = 119,059 : x
  2. Step 2: Convert to fraction form
    57,532/119,059 = 119,059/x
  3. Step 3: Cross multiply
    57,532x = 119,059 × 119,059
  4. Step 4: Simplify right side
    57,532x = 14,175,045,481
  5. Step 5: Solve for x
    x = 14,175,045,481/57,532
  6. Step 6: Final answer
    x = 246,385.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.