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Finding the Third Proportional to 54,744 and 118,240

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Solution

The third proportional to 54,744 and 118,240 is: 255,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744 : 118,240 = 118,240 : x
  2. Step 2: Convert to fraction form
    54,744/118,240 = 118,240/x
  3. Step 3: Cross multiply
    54,744x = 118,240 × 118,240
  4. Step 4: Simplify right side
    54,744x = 13,980,697,600
  5. Step 5: Solve for x
    x = 13,980,697,600/54,744
  6. Step 6: Final answer
    x = 255,383.19

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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.