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Finding the Third Proportional to 137,022 and 204,973

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Solution

The third proportional to 137,022 and 204,973 is: 306,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,022 : 204,973 = 204,973 : x
  2. Step 2: Convert to fraction form
    137,022/204,973 = 204,973/x
  3. Step 3: Cross multiply
    137,022x = 204,973 × 204,973
  4. Step 4: Simplify right side
    137,022x = 42,013,930,729
  5. Step 5: Solve for x
    x = 42,013,930,729/137,022
  6. Step 6: Final answer
    x = 306,621.79

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