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Finding the Third Proportional to 54,996 and 118,680

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Solution

The third proportional to 54,996 and 118,680 is: 256,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,996 : 118,680 = 118,680 : x
  2. Step 2: Convert to fraction form
    54,996/118,680 = 118,680/x
  3. Step 3: Cross multiply
    54,996x = 118,680 × 118,680
  4. Step 4: Simplify right side
    54,996x = 14,084,942,400
  5. Step 5: Solve for x
    x = 14,084,942,400/54,996
  6. Step 6: Final answer
    x = 256,108.49

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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.