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Finding the Third Proportional to 86,726 and 126,795

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Solution

The third proportional to 86,726 and 126,795 is: 185,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,726 : 126,795 = 126,795 : x
  2. Step 2: Convert to fraction form
    86,726/126,795 = 126,795/x
  3. Step 3: Cross multiply
    86,726x = 126,795 × 126,795
  4. Step 4: Simplify right side
    86,726x = 16,076,972,025
  5. Step 5: Solve for x
    x = 16,076,972,025/86,726
  6. Step 6: Final answer
    x = 185,376.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.