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Finding the Third Proportional to 68,016.94 and 147,682.69

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Solution

The third proportional to 68,016.94 and 147,682.69 is: 320,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,016.94 : 147,682.69 = 147,682.69 : x
  2. Step 2: Convert to fraction form
    68,016.94/147,682.69 = 147,682.69/x
  3. Step 3: Cross multiply
    68,016.94x = 147,682.69 × 147,682.69
  4. Step 4: Simplify right side
    68,016.94x = 21,810,176,187.22
  5. Step 5: Solve for x
    x = 21,810,176,187.22/68,016.94
  6. Step 6: Final answer
    x = 320,658.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.