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Finding the Third Proportional to 54,634.50 and 118,882.69

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Solution

The third proportional to 54,634.50 and 118,882.69 is: 258,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,634.50 : 118,882.69 = 118,882.69 : x
  2. Step 2: Convert to fraction form
    54,634.50/118,882.69 = 118,882.69/x
  3. Step 3: Cross multiply
    54,634.50x = 118,882.69 × 118,882.69
  4. Step 4: Simplify right side
    54,634.50x = 14,133,093,387.22
  5. Step 5: Solve for x
    x = 14,133,093,387.22/54,634.50
  6. Step 6: Final answer
    x = 258,684.41

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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.