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Finding the Third Proportional to 67,942.38 and 144,106.25

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Solution

The third proportional to 67,942.38 and 144,106.25 is: 305,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,942.38 : 144,106.25 = 144,106.25 : x
  2. Step 2: Convert to fraction form
    67,942.38/144,106.25 = 144,106.25/x
  3. Step 3: Cross multiply
    67,942.38x = 144,106.25 × 144,106.25
  4. Step 4: Simplify right side
    67,942.38x = 20,766,611,289.06
  5. Step 5: Solve for x
    x = 20,766,611,289.06/67,942.38
  6. Step 6: Final answer
    x = 305,650.36

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.