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Finding the Third Proportional to 54,089 and 118,834

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Solution

The third proportional to 54,089 and 118,834 is: 261,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,089 : 118,834 = 118,834 : x
  2. Step 2: Convert to fraction form
    54,089/118,834 = 118,834/x
  3. Step 3: Cross multiply
    54,089x = 118,834 × 118,834
  4. Step 4: Simplify right side
    54,089x = 14,121,519,556
  5. Step 5: Solve for x
    x = 14,121,519,556/54,089
  6. Step 6: Final answer
    x = 261,079.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.