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Finding the Third Proportional to 126,861 and 166,852.50

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Solution

The third proportional to 126,861 and 166,852.50 is: 219,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,861 : 166,852.50 = 166,852.50 : x
  2. Step 2: Convert to fraction form
    126,861/166,852.50 = 166,852.50/x
  3. Step 3: Cross multiply
    126,861x = 166,852.50 × 166,852.50
  4. Step 4: Simplify right side
    126,861x = 27,839,756,756.25
  5. Step 5: Solve for x
    x = 27,839,756,756.25/126,861
  6. Step 6: Final answer
    x = 219,450.87

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.