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Finding the Third Proportional to 65,306.81 and 133,380.56

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Solution

The third proportional to 65,306.81 and 133,380.56 is: 272,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.81 : 133,380.56 = 133,380.56 : x
  2. Step 2: Convert to fraction form
    65,306.81/133,380.56 = 133,380.56/x
  3. Step 3: Cross multiply
    65,306.81x = 133,380.56 × 133,380.56
  4. Step 4: Simplify right side
    65,306.81x = 17,790,374,452.82
  5. Step 5: Solve for x
    x = 17,790,374,452.82/65,306.81
  6. Step 6: Final answer
    x = 272,412.23

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.