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Finding the Third Proportional to 54,519.75 and 116,815.50

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Solution

The third proportional to 54,519.75 and 116,815.50 is: 250,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,519.75 : 116,815.50 = 116,815.50 : x
  2. Step 2: Convert to fraction form
    54,519.75/116,815.50 = 116,815.50/x
  3. Step 3: Cross multiply
    54,519.75x = 116,815.50 × 116,815.50
  4. Step 4: Simplify right side
    54,519.75x = 13,645,861,040.25
  5. Step 5: Solve for x
    x = 13,645,861,040.25/54,519.75
  6. Step 6: Final answer
    x = 250,292.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.