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Finding the Third Proportional to 54,514 and 119,396

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Solution

The third proportional to 54,514 and 119,396 is: 261,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,514 : 119,396 = 119,396 : x
  2. Step 2: Convert to fraction form
    54,514/119,396 = 119,396/x
  3. Step 3: Cross multiply
    54,514x = 119,396 × 119,396
  4. Step 4: Simplify right side
    54,514x = 14,255,404,816
  5. Step 5: Solve for x
    x = 14,255,404,816/54,514
  6. Step 6: Final answer
    x = 261,499.89

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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.