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Finding the Third Proportional to 81,446.50 and 125,855.50

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Solution

The third proportional to 81,446.50 and 125,855.50 is: 194,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,446.50 : 125,855.50 = 125,855.50 : x
  2. Step 2: Convert to fraction form
    81,446.50/125,855.50 = 125,855.50/x
  3. Step 3: Cross multiply
    81,446.50x = 125,855.50 × 125,855.50
  4. Step 4: Simplify right side
    81,446.50x = 15,839,606,880.25
  5. Step 5: Solve for x
    x = 15,839,606,880.25/81,446.50
  6. Step 6: Final answer
    x = 194,478.67

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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.