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Finding the Third Proportional to 71,490.38 and 141,185.25

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Solution

The third proportional to 71,490.38 and 141,185.25 is: 278,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,490.38 : 141,185.25 = 141,185.25 : x
  2. Step 2: Convert to fraction form
    71,490.38/141,185.25 = 141,185.25/x
  3. Step 3: Cross multiply
    71,490.38x = 141,185.25 × 141,185.25
  4. Step 4: Simplify right side
    71,490.38x = 19,933,274,817.56
  5. Step 5: Solve for x
    x = 19,933,274,817.56/71,490.38
  6. Step 6: Final answer
    x = 278,824.59

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.