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Finding the Third Proportional to 54,966 and 119,775

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Solution

The third proportional to 54,966 and 119,775 is: 260,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966 : 119,775 = 119,775 : x
  2. Step 2: Convert to fraction form
    54,966/119,775 = 119,775/x
  3. Step 3: Cross multiply
    54,966x = 119,775 × 119,775
  4. Step 4: Simplify right side
    54,966x = 14,346,050,625
  5. Step 5: Solve for x
    x = 14,346,050,625/54,966
  6. Step 6: Final answer
    x = 260,998.63

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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.