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Finding the Third Proportional to 67,104.50 and 146,267

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Solution

The third proportional to 67,104.50 and 146,267 is: 318,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,104.50 : 146,267 = 146,267 : x
  2. Step 2: Convert to fraction form
    67,104.50/146,267 = 146,267/x
  3. Step 3: Cross multiply
    67,104.50x = 146,267 × 146,267
  4. Step 4: Simplify right side
    67,104.50x = 21,394,035,289
  5. Step 5: Solve for x
    x = 21,394,035,289/67,104.50
  6. Step 6: Final answer
    x = 318,816.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.