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Finding the Third Proportional to 62,478 and 131,928.75

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Solution

The third proportional to 62,478 and 131,928.75 is: 278,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,478 : 131,928.75 = 131,928.75 : x
  2. Step 2: Convert to fraction form
    62,478/131,928.75 = 131,928.75/x
  3. Step 3: Cross multiply
    62,478x = 131,928.75 × 131,928.75
  4. Step 4: Simplify right side
    62,478x = 17,405,195,076.56
  5. Step 5: Solve for x
    x = 17,405,195,076.56/62,478
  6. Step 6: Final answer
    x = 278,581.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.