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Finding the Third Proportional to 82,928 and 125,085

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Solution

The third proportional to 82,928 and 125,085 is: 188,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,928 : 125,085 = 125,085 : x
  2. Step 2: Convert to fraction form
    82,928/125,085 = 125,085/x
  3. Step 3: Cross multiply
    82,928x = 125,085 × 125,085
  4. Step 4: Simplify right side
    82,928x = 15,646,257,225
  5. Step 5: Solve for x
    x = 15,646,257,225/82,928
  6. Step 6: Final answer
    x = 188,672.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.