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Finding the Third Proportional to 74,468.25 and 104,169.38

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Solution

The third proportional to 74,468.25 and 104,169.38 is: 145,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,468.25 : 104,169.38 = 104,169.38 : x
  2. Step 2: Convert to fraction form
    74,468.25/104,169.38 = 104,169.38/x
  3. Step 3: Cross multiply
    74,468.25x = 104,169.38 × 104,169.38
  4. Step 4: Simplify right side
    74,468.25x = 10,851,258,687.89
  5. Step 5: Solve for x
    x = 10,851,258,687.89/74,468.25
  6. Step 6: Final answer
    x = 145,716.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.