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Finding the Third Proportional to 67,177 and 146,450

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Solution

The third proportional to 67,177 and 146,450 is: 319,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,177 : 146,450 = 146,450 : x
  2. Step 2: Convert to fraction form
    67,177/146,450 = 146,450/x
  3. Step 3: Cross multiply
    67,177x = 146,450 × 146,450
  4. Step 4: Simplify right side
    67,177x = 21,447,602,500
  5. Step 5: Solve for x
    x = 21,447,602,500/67,177
  6. Step 6: Final answer
    x = 319,270.03

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Why These Related Problems?

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