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Finding the Third Proportional to 86,197.50 and 126,015.75

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Solution

The third proportional to 86,197.50 and 126,015.75 is: 184,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197.50 : 126,015.75 = 126,015.75 : x
  2. Step 2: Convert to fraction form
    86,197.50/126,015.75 = 126,015.75/x
  3. Step 3: Cross multiply
    86,197.50x = 126,015.75 × 126,015.75
  4. Step 4: Simplify right side
    86,197.50x = 15,879,969,248.06
  5. Step 5: Solve for x
    x = 15,879,969,248.06/86,197.50
  6. Step 6: Final answer
    x = 184,227.72

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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.