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Finding the Third Proportional to 67,230 and 146,772

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Solution

The third proportional to 67,230 and 146,772 is: 320,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,230 : 146,772 = 146,772 : x
  2. Step 2: Convert to fraction form
    67,230/146,772 = 146,772/x
  3. Step 3: Cross multiply
    67,230x = 146,772 × 146,772
  4. Step 4: Simplify right side
    67,230x = 21,542,019,984
  5. Step 5: Solve for x
    x = 21,542,019,984/67,230
  6. Step 6: Final answer
    x = 320,422.73

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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.