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Finding the Third Proportional to 67,142.25 and 94,118.63

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Solution

The third proportional to 67,142.25 and 94,118.63 is: 131,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,142.25 : 94,118.63 = 94,118.63 : x
  2. Step 2: Convert to fraction form
    67,142.25/94,118.63 = 94,118.63/x
  3. Step 3: Cross multiply
    67,142.25x = 94,118.63 × 94,118.63
  4. Step 4: Simplify right side
    67,142.25x = 8,858,315,571.89
  5. Step 5: Solve for x
    x = 8,858,315,571.89/67,142.25
  6. Step 6: Final answer
    x = 131,933.55

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