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Finding the Third Proportional to 135,961 and 206,583

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Solution

The third proportional to 135,961 and 206,583 is: 313,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,961 : 206,583 = 206,583 : x
  2. Step 2: Convert to fraction form
    135,961/206,583 = 206,583/x
  3. Step 3: Cross multiply
    135,961x = 206,583 × 206,583
  4. Step 4: Simplify right side
    135,961x = 42,676,535,889
  5. Step 5: Solve for x
    x = 42,676,535,889/135,961
  6. Step 6: Final answer
    x = 313,888.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.