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Finding the Third Proportional to 57,518 and 117,825

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Solution

The third proportional to 57,518 and 117,825 is: 241,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,518 : 117,825 = 117,825 : x
  2. Step 2: Convert to fraction form
    57,518/117,825 = 117,825/x
  3. Step 3: Cross multiply
    57,518x = 117,825 × 117,825
  4. Step 4: Simplify right side
    57,518x = 13,882,730,625
  5. Step 5: Solve for x
    x = 13,882,730,625/57,518
  6. Step 6: Final answer
    x = 241,363.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.