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Finding the Third Proportional to 53,961 and 118,629

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Solution

The third proportional to 53,961 and 118,629 is: 260,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,961 : 118,629 = 118,629 : x
  2. Step 2: Convert to fraction form
    53,961/118,629 = 118,629/x
  3. Step 3: Cross multiply
    53,961x = 118,629 × 118,629
  4. Step 4: Simplify right side
    53,961x = 14,072,839,641
  5. Step 5: Solve for x
    x = 14,072,839,641/53,961
  6. Step 6: Final answer
    x = 260,796.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.