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Finding the Third Proportional to 54,560 and 119,530

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Solution

The third proportional to 54,560 and 119,530 is: 261,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,560 : 119,530 = 119,530 : x
  2. Step 2: Convert to fraction form
    54,560/119,530 = 119,530/x
  3. Step 3: Cross multiply
    54,560x = 119,530 × 119,530
  4. Step 4: Simplify right side
    54,560x = 14,287,420,900
  5. Step 5: Solve for x
    x = 14,287,420,900/54,560
  6. Step 6: Final answer
    x = 261,866.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.