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Finding the Third Proportional to 67,530 and 148,019

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Solution

The third proportional to 67,530 and 148,019 is: 324,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,530 : 148,019 = 148,019 : x
  2. Step 2: Convert to fraction form
    67,530/148,019 = 148,019/x
  3. Step 3: Cross multiply
    67,530x = 148,019 × 148,019
  4. Step 4: Simplify right side
    67,530x = 21,909,624,361
  5. Step 5: Solve for x
    x = 21,909,624,361/67,530
  6. Step 6: Final answer
    x = 324,442.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.