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Finding the Third Proportional to 54,149 and 118,761

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Solution

The third proportional to 54,149 and 118,761 is: 260,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,149 : 118,761 = 118,761 : x
  2. Step 2: Convert to fraction form
    54,149/118,761 = 118,761/x
  3. Step 3: Cross multiply
    54,149x = 118,761 × 118,761
  4. Step 4: Simplify right side
    54,149x = 14,104,175,121
  5. Step 5: Solve for x
    x = 14,104,175,121/54,149
  6. Step 6: Final answer
    x = 260,469.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.