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Finding the Third Proportional to 136,022 and 204,033

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Solution

The third proportional to 136,022 and 204,033 is: 306,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,022 : 204,033 = 204,033 : x
  2. Step 2: Convert to fraction form
    136,022/204,033 = 204,033/x
  3. Step 3: Cross multiply
    136,022x = 204,033 × 204,033
  4. Step 4: Simplify right side
    136,022x = 41,629,465,089
  5. Step 5: Solve for x
    x = 41,629,465,089/136,022
  6. Step 6: Final answer
    x = 306,049.50

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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.