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Finding the Third Proportional to 54,825 and 119,566

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Solution

The third proportional to 54,825 and 119,566 is: 260,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,825 : 119,566 = 119,566 : x
  2. Step 2: Convert to fraction form
    54,825/119,566 = 119,566/x
  3. Step 3: Cross multiply
    54,825x = 119,566 × 119,566
  4. Step 4: Simplify right side
    54,825x = 14,296,028,356
  5. Step 5: Solve for x
    x = 14,296,028,356/54,825
  6. Step 6: Final answer
    x = 260,757.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.