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Finding the Third Proportional to 68,234.59 and 148,065.79

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Solution

The third proportional to 68,234.59 and 148,065.79 is: 321,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234.59 : 148,065.79 = 148,065.79 : x
  2. Step 2: Convert to fraction form
    68,234.59/148,065.79 = 148,065.79/x
  3. Step 3: Cross multiply
    68,234.59x = 148,065.79 × 148,065.79
  4. Step 4: Simplify right side
    68,234.59x = 21,923,476,733.94
  5. Step 5: Solve for x
    x = 21,923,476,733.94/68,234.59
  6. Step 6: Final answer
    x = 321,295.65

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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.