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Finding the Third Proportional to 54,733.50 and 118,017

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Solution

The third proportional to 54,733.50 and 118,017 is: 254,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,733.50 : 118,017 = 118,017 : x
  2. Step 2: Convert to fraction form
    54,733.50/118,017 = 118,017/x
  3. Step 3: Cross multiply
    54,733.50x = 118,017 × 118,017
  4. Step 4: Simplify right side
    54,733.50x = 13,928,012,289
  5. Step 5: Solve for x
    x = 13,928,012,289/54,733.50
  6. Step 6: Final answer
    x = 254,469.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.