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Finding the Third Proportional to 86,184.50 and 126,436.75

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Solution

The third proportional to 86,184.50 and 126,436.75 is: 185,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,184.50 : 126,436.75 = 126,436.75 : x
  2. Step 2: Convert to fraction form
    86,184.50/126,436.75 = 126,436.75/x
  3. Step 3: Cross multiply
    86,184.50x = 126,436.75 × 126,436.75
  4. Step 4: Simplify right side
    86,184.50x = 15,986,251,750.56
  5. Step 5: Solve for x
    x = 15,986,251,750.56/86,184.50
  6. Step 6: Final answer
    x = 185,488.71

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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.