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Finding the Third Proportional to 67,845.94 and 145,028.92

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Solution

The third proportional to 67,845.94 and 145,028.92 is: 310,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,845.94 : 145,028.92 = 145,028.92 : x
  2. Step 2: Convert to fraction form
    67,845.94/145,028.92 = 145,028.92/x
  3. Step 3: Cross multiply
    67,845.94x = 145,028.92 × 145,028.92
  4. Step 4: Simplify right side
    67,845.94x = 21,033,387,047.19
  5. Step 5: Solve for x
    x = 21,033,387,047.19/67,845.94
  6. Step 6: Final answer
    x = 310,016.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.