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Finding the Third Proportional to 54,072.96 and 116,466.06

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Solution

The third proportional to 54,072.96 and 116,466.06 is: 250,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072.96 : 116,466.06 = 116,466.06 : x
  2. Step 2: Convert to fraction form
    54,072.96/116,466.06 = 116,466.06/x
  3. Step 3: Cross multiply
    54,072.96x = 116,466.06 × 116,466.06
  4. Step 4: Simplify right side
    54,072.96x = 13,564,342,121.94
  5. Step 5: Solve for x
    x = 13,564,342,121.94/54,072.96
  6. Step 6: Final answer
    x = 250,852.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.