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Finding the Third Proportional to 54,596 and 119,376

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Solution

The third proportional to 54,596 and 119,376 is: 261,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,596 : 119,376 = 119,376 : x
  2. Step 2: Convert to fraction form
    54,596/119,376 = 119,376/x
  3. Step 3: Cross multiply
    54,596x = 119,376 × 119,376
  4. Step 4: Simplify right side
    54,596x = 14,250,629,376
  5. Step 5: Solve for x
    x = 14,250,629,376/54,596
  6. Step 6: Final answer
    x = 261,019.66

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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.