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Finding the Third Proportional to 74,067 and 103,684.50

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Solution

The third proportional to 74,067 and 103,684.50 is: 145,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,067 : 103,684.50 = 103,684.50 : x
  2. Step 2: Convert to fraction form
    74,067/103,684.50 = 103,684.50/x
  3. Step 3: Cross multiply
    74,067x = 103,684.50 × 103,684.50
  4. Step 4: Simplify right side
    74,067x = 10,750,475,540.25
  5. Step 5: Solve for x
    x = 10,750,475,540.25/74,067
  6. Step 6: Final answer
    x = 145,145.28

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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.