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Finding the Third Proportional to 54,995 and 119,863

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Solution

The third proportional to 54,995 and 119,863 is: 261,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,995 : 119,863 = 119,863 : x
  2. Step 2: Convert to fraction form
    54,995/119,863 = 119,863/x
  3. Step 3: Cross multiply
    54,995x = 119,863 × 119,863
  4. Step 4: Simplify right side
    54,995x = 14,367,138,769
  5. Step 5: Solve for x
    x = 14,367,138,769/54,995
  6. Step 6: Final answer
    x = 261,244.45

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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.