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Finding the Third Proportional to 68,361 and 150,164

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Solution

The third proportional to 68,361 and 150,164 is: 329,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,361 : 150,164 = 150,164 : x
  2. Step 2: Convert to fraction form
    68,361/150,164 = 150,164/x
  3. Step 3: Cross multiply
    68,361x = 150,164 × 150,164
  4. Step 4: Simplify right side
    68,361x = 22,549,226,896
  5. Step 5: Solve for x
    x = 22,549,226,896/68,361
  6. Step 6: Final answer
    x = 329,855.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.