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Finding the Third Proportional to 86,048 and 126,250

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Solution

The third proportional to 86,048 and 126,250 is: 185,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,048 : 126,250 = 126,250 : x
  2. Step 2: Convert to fraction form
    86,048/126,250 = 126,250/x
  3. Step 3: Cross multiply
    86,048x = 126,250 × 126,250
  4. Step 4: Simplify right side
    86,048x = 15,939,062,500
  5. Step 5: Solve for x
    x = 15,939,062,500/86,048
  6. Step 6: Final answer
    x = 185,234.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.