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Finding the Third Proportional to 60,538 and 119,530

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Solution

The third proportional to 60,538 and 119,530 is: 236,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,538 : 119,530 = 119,530 : x
  2. Step 2: Convert to fraction form
    60,538/119,530 = 119,530/x
  3. Step 3: Cross multiply
    60,538x = 119,530 × 119,530
  4. Step 4: Simplify right side
    60,538x = 14,287,420,900
  5. Step 5: Solve for x
    x = 14,287,420,900/60,538
  6. Step 6: Final answer
    x = 236,007.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.