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Finding the Third Proportional to 68,234.25 and 148,065

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Solution

The third proportional to 68,234.25 and 148,065 is: 321,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234.25 : 148,065 = 148,065 : x
  2. Step 2: Convert to fraction form
    68,234.25/148,065 = 148,065/x
  3. Step 3: Cross multiply
    68,234.25x = 148,065 × 148,065
  4. Step 4: Simplify right side
    68,234.25x = 21,923,244,225
  5. Step 5: Solve for x
    x = 21,923,244,225/68,234.25
  6. Step 6: Final answer
    x = 321,293.84

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Why These Related Problems?

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