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Finding the Third Proportional to 82,869 and 126,712

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Solution

The third proportional to 82,869 and 126,712 is: 193,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,869 : 126,712 = 126,712 : x
  2. Step 2: Convert to fraction form
    82,869/126,712 = 126,712/x
  3. Step 3: Cross multiply
    82,869x = 126,712 × 126,712
  4. Step 4: Simplify right side
    82,869x = 16,055,930,944
  5. Step 5: Solve for x
    x = 16,055,930,944/82,869
  6. Step 6: Final answer
    x = 193,750.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.