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Finding the Third Proportional to 136,008 and 204,012

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Solution

The third proportional to 136,008 and 204,012 is: 306,018

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,008 : 204,012 = 204,012 : x
  2. Step 2: Convert to fraction form
    136,008/204,012 = 204,012/x
  3. Step 3: Cross multiply
    136,008x = 204,012 × 204,012
  4. Step 4: Simplify right side
    136,008x = 41,620,896,144
  5. Step 5: Solve for x
    x = 41,620,896,144/136,008
  6. Step 6: Final answer
    x = 306,018

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.