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Finding the Third Proportional to 54,934 and 118,614

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Solution

The third proportional to 54,934 and 118,614 is: 256,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,934 : 118,614 = 118,614 : x
  2. Step 2: Convert to fraction form
    54,934/118,614 = 118,614/x
  3. Step 3: Cross multiply
    54,934x = 118,614 × 118,614
  4. Step 4: Simplify right side
    54,934x = 14,069,280,996
  5. Step 5: Solve for x
    x = 14,069,280,996/54,934
  6. Step 6: Final answer
    x = 256,112.44

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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.