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Finding the Third Proportional to 57,728 and 119,992

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Solution

The third proportional to 57,728 and 119,992 is: 249,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,728 : 119,992 = 119,992 : x
  2. Step 2: Convert to fraction form
    57,728/119,992 = 119,992/x
  3. Step 3: Cross multiply
    57,728x = 119,992 × 119,992
  4. Step 4: Simplify right side
    57,728x = 14,398,080,064
  5. Step 5: Solve for x
    x = 14,398,080,064/57,728
  6. Step 6: Final answer
    x = 249,412.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.