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Finding the Third Proportional to 54,162 and 118,044

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Solution

The third proportional to 54,162 and 118,044 is: 257,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,162 : 118,044 = 118,044 : x
  2. Step 2: Convert to fraction form
    54,162/118,044 = 118,044/x
  3. Step 3: Cross multiply
    54,162x = 118,044 × 118,044
  4. Step 4: Simplify right side
    54,162x = 13,934,385,936
  5. Step 5: Solve for x
    x = 13,934,385,936/54,162
  6. Step 6: Final answer
    x = 257,272.37

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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.