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Finding the Third Proportional to 53,996 and 118,729

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Solution

The third proportional to 53,996 and 118,729 is: 261,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,996 : 118,729 = 118,729 : x
  2. Step 2: Convert to fraction form
    53,996/118,729 = 118,729/x
  3. Step 3: Cross multiply
    53,996x = 118,729 × 118,729
  4. Step 4: Simplify right side
    53,996x = 14,096,575,441
  5. Step 5: Solve for x
    x = 14,096,575,441/53,996
  6. Step 6: Final answer
    x = 261,067.03

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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.