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Finding the Third Proportional to 81,742.50 and 126,616.50

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Solution

The third proportional to 81,742.50 and 126,616.50 is: 196,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,742.50 : 126,616.50 = 126,616.50 : x
  2. Step 2: Convert to fraction form
    81,742.50/126,616.50 = 126,616.50/x
  3. Step 3: Cross multiply
    81,742.50x = 126,616.50 × 126,616.50
  4. Step 4: Simplify right side
    81,742.50x = 16,031,738,072.25
  5. Step 5: Solve for x
    x = 16,031,738,072.25/81,742.50
  6. Step 6: Final answer
    x = 196,124.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.