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Finding the Third Proportional to 85,863.75 and 126,311.06

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Solution

The third proportional to 85,863.75 and 126,311.06 is: 185,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,863.75 : 126,311.06 = 126,311.06 : x
  2. Step 2: Convert to fraction form
    85,863.75/126,311.06 = 126,311.06/x
  3. Step 3: Cross multiply
    85,863.75x = 126,311.06 × 126,311.06
  4. Step 4: Simplify right side
    85,863.75x = 15,954,484,509.88
  5. Step 5: Solve for x
    x = 15,954,484,509.88/85,863.75
  6. Step 6: Final answer
    x = 185,811.64

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Why These Related Problems?

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