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Finding the Third Proportional to 54,790 and 118,148

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Solution

The third proportional to 54,790 and 118,148 is: 254,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,790 : 118,148 = 118,148 : x
  2. Step 2: Convert to fraction form
    54,790/118,148 = 118,148/x
  3. Step 3: Cross multiply
    54,790x = 118,148 × 118,148
  4. Step 4: Simplify right side
    54,790x = 13,958,949,904
  5. Step 5: Solve for x
    x = 13,958,949,904/54,790
  6. Step 6: Final answer
    x = 254,771.85

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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.